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Finding the Third Proportional to 37,532 and 52,791

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Solution

The third proportional to 37,532 and 52,791 is: 74,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,532 : 52,791 = 52,791 : x
  2. Step 2: Convert to fraction form
    37,532/52,791 = 52,791/x
  3. Step 3: Cross multiply
    37,532x = 52,791 × 52,791
  4. Step 4: Simplify right side
    37,532x = 2,786,889,681
  5. Step 5: Solve for x
    x = 2,786,889,681/37,532
  6. Step 6: Final answer
    x = 74,253.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.