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Finding the Third Proportional to 25,724.25 and 38,647.13

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Solution

The third proportional to 25,724.25 and 38,647.13 is: 58,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.25 : 38,647.13 = 38,647.13 : x
  2. Step 2: Convert to fraction form
    25,724.25/38,647.13 = 38,647.13/x
  3. Step 3: Cross multiply
    25,724.25x = 38,647.13 × 38,647.13
  4. Step 4: Simplify right side
    25,724.25x = 1,493,600,270.77
  5. Step 5: Solve for x
    x = 1,493,600,270.77/25,724.25
  6. Step 6: Final answer
    x = 58,061.96

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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.