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Finding the Third Proportional to 25,672.50 and 38,132.25

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Solution

The third proportional to 25,672.50 and 38,132.25 is: 56,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.50 : 38,132.25 = 38,132.25 : x
  2. Step 2: Convert to fraction form
    25,672.50/38,132.25 = 38,132.25/x
  3. Step 3: Cross multiply
    25,672.50x = 38,132.25 × 38,132.25
  4. Step 4: Simplify right side
    25,672.50x = 1,454,068,490.06
  5. Step 5: Solve for x
    x = 1,454,068,490.06/25,672.50
  6. Step 6: Final answer
    x = 56,639.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.