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Finding the Third Proportional to 19,406 and 29,469

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Solution

The third proportional to 19,406 and 29,469 is: 44,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 29,469 = 29,469 : x
  2. Step 2: Convert to fraction form
    19,406/29,469 = 29,469/x
  3. Step 3: Cross multiply
    19,406x = 29,469 × 29,469
  4. Step 4: Simplify right side
    19,406x = 868,421,961
  5. Step 5: Solve for x
    x = 868,421,961/19,406
  6. Step 6: Final answer
    x = 44,750.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.