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Finding the Third Proportional to 25,654.13 and 38,378.25

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Solution

The third proportional to 25,654.13 and 38,378.25 is: 57,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.13 : 38,378.25 = 38,378.25 : x
  2. Step 2: Convert to fraction form
    25,654.13/38,378.25 = 38,378.25/x
  3. Step 3: Cross multiply
    25,654.13x = 38,378.25 × 38,378.25
  4. Step 4: Simplify right side
    25,654.13x = 1,472,890,073.06
  5. Step 5: Solve for x
    x = 1,472,890,073.06/25,654.13
  6. Step 6: Final answer
    x = 57,413.38

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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.