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Finding the Third Proportional to 15,744 and 25,029

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Solution

The third proportional to 15,744 and 25,029 is: 39,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 25,029 = 25,029 : x
  2. Step 2: Convert to fraction form
    15,744/25,029 = 25,029/x
  3. Step 3: Cross multiply
    15,744x = 25,029 × 25,029
  4. Step 4: Simplify right side
    15,744x = 626,450,841
  5. Step 5: Solve for x
    x = 626,450,841/15,744
  6. Step 6: Final answer
    x = 39,789.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.