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Finding the Third Proportional to 4,270 and 7,478

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Solution

The third proportional to 4,270 and 7,478 is: 13,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 7,478 = 7,478 : x
  2. Step 2: Convert to fraction form
    4,270/7,478 = 7,478/x
  3. Step 3: Cross multiply
    4,270x = 7,478 × 7,478
  4. Step 4: Simplify right side
    4,270x = 55,920,484
  5. Step 5: Solve for x
    x = 55,920,484/4,270
  6. Step 6: Final answer
    x = 13,096.13

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.