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Finding the Third Proportional to 37,041 and 52,931

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Solution

The third proportional to 37,041 and 52,931 is: 75,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041 : 52,931 = 52,931 : x
  2. Step 2: Convert to fraction form
    37,041/52,931 = 52,931/x
  3. Step 3: Cross multiply
    37,041x = 52,931 × 52,931
  4. Step 4: Simplify right side
    37,041x = 2,801,690,761
  5. Step 5: Solve for x
    x = 2,801,690,761/37,041
  6. Step 6: Final answer
    x = 75,637.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.