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Finding the Third Proportional to 35,438 and 52,471

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Solution

The third proportional to 35,438 and 52,471 is: 77,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438 : 52,471 = 52,471 : x
  2. Step 2: Convert to fraction form
    35,438/52,471 = 52,471/x
  3. Step 3: Cross multiply
    35,438x = 52,471 × 52,471
  4. Step 4: Simplify right side
    35,438x = 2,753,205,841
  5. Step 5: Solve for x
    x = 2,753,205,841/35,438
  6. Step 6: Final answer
    x = 77,690.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.