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Finding the Third Proportional to 29,409 and 44,387

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Solution

The third proportional to 29,409 and 44,387 is: 66,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409 : 44,387 = 44,387 : x
  2. Step 2: Convert to fraction form
    29,409/44,387 = 44,387/x
  3. Step 3: Cross multiply
    29,409x = 44,387 × 44,387
  4. Step 4: Simplify right side
    29,409x = 1,970,205,769
  5. Step 5: Solve for x
    x = 1,970,205,769/29,409
  6. Step 6: Final answer
    x = 66,993.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.