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Finding the Third Proportional to 41,472 and 62,208

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Solution

The third proportional to 41,472 and 62,208 is: 93,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 62,208 = 62,208 : x
  2. Step 2: Convert to fraction form
    41,472/62,208 = 62,208/x
  3. Step 3: Cross multiply
    41,472x = 62,208 × 62,208
  4. Step 4: Simplify right side
    41,472x = 3,869,835,264
  5. Step 5: Solve for x
    x = 3,869,835,264/41,472
  6. Step 6: Final answer
    x = 93,312

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.