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Finding the Third Proportional to 52,034 and 77,475

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Solution

The third proportional to 52,034 and 77,475 is: 115,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 77,475 = 77,475 : x
  2. Step 2: Convert to fraction form
    52,034/77,475 = 77,475/x
  3. Step 3: Cross multiply
    52,034x = 77,475 × 77,475
  4. Step 4: Simplify right side
    52,034x = 6,002,375,625
  5. Step 5: Solve for x
    x = 6,002,375,625/52,034
  6. Step 6: Final answer
    x = 115,354.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.