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Finding the Third Proportional to 25,532 and 37,439

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Solution

The third proportional to 25,532 and 37,439 is: 54,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532 : 37,439 = 37,439 : x
  2. Step 2: Convert to fraction form
    25,532/37,439 = 37,439/x
  3. Step 3: Cross multiply
    25,532x = 37,439 × 37,439
  4. Step 4: Simplify right side
    25,532x = 1,401,678,721
  5. Step 5: Solve for x
    x = 1,401,678,721/25,532
  6. Step 6: Final answer
    x = 54,898.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.