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Finding the Third Proportional to 6,484 and 15,478

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Solution

The third proportional to 6,484 and 15,478 is: 36,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484 : 15,478 = 15,478 : x
  2. Step 2: Convert to fraction form
    6,484/15,478 = 15,478/x
  3. Step 3: Cross multiply
    6,484x = 15,478 × 15,478
  4. Step 4: Simplify right side
    6,484x = 239,568,484
  5. Step 5: Solve for x
    x = 239,568,484/6,484
  6. Step 6: Final answer
    x = 36,947.64

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.