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Finding the Third Proportional to 48,481 and 65,471

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Solution

The third proportional to 48,481 and 65,471 is: 88,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 65,471 = 65,471 : x
  2. Step 2: Convert to fraction form
    48,481/65,471 = 65,471/x
  3. Step 3: Cross multiply
    48,481x = 65,471 × 65,471
  4. Step 4: Simplify right side
    48,481x = 4,286,451,841
  5. Step 5: Solve for x
    x = 4,286,451,841/48,481
  6. Step 6: Final answer
    x = 88,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.