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Finding the Third Proportional to 6,416 and 15,170

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Solution

The third proportional to 6,416 and 15,170 is: 35,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 15,170 = 15,170 : x
  2. Step 2: Convert to fraction form
    6,416/15,170 = 15,170/x
  3. Step 3: Cross multiply
    6,416x = 15,170 × 15,170
  4. Step 4: Simplify right side
    6,416x = 230,128,900
  5. Step 5: Solve for x
    x = 230,128,900/6,416
  6. Step 6: Final answer
    x = 35,867.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.