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Finding the Third Proportional to 25,148.38 and 37,725.56

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Solution

The third proportional to 25,148.38 and 37,725.56 is: 56,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.38 : 37,725.56 = 37,725.56 : x
  2. Step 2: Convert to fraction form
    25,148.38/37,725.56 = 37,725.56/x
  3. Step 3: Cross multiply
    25,148.38x = 37,725.56 × 37,725.56
  4. Step 4: Simplify right side
    25,148.38x = 1,423,218,065.94
  5. Step 5: Solve for x
    x = 1,423,218,065.94/25,148.38
  6. Step 6: Final answer
    x = 56,592.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.