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Finding the Third Proportional to 25,076.25 and 38,562.75

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Solution

The third proportional to 25,076.25 and 38,562.75 is: 59,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.25 : 38,562.75 = 38,562.75 : x
  2. Step 2: Convert to fraction form
    25,076.25/38,562.75 = 38,562.75/x
  3. Step 3: Cross multiply
    25,076.25x = 38,562.75 × 38,562.75
  4. Step 4: Simplify right side
    25,076.25x = 1,487,085,687.56
  5. Step 5: Solve for x
    x = 1,487,085,687.56/25,076.25
  6. Step 6: Final answer
    x = 59,302.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.