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Finding the Third Proportional to 43,952 and 60,458

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Solution

The third proportional to 43,952 and 60,458 is: 83,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,952 : 60,458 = 60,458 : x
  2. Step 2: Convert to fraction form
    43,952/60,458 = 60,458/x
  3. Step 3: Cross multiply
    43,952x = 60,458 × 60,458
  4. Step 4: Simplify right side
    43,952x = 3,655,169,764
  5. Step 5: Solve for x
    x = 3,655,169,764/43,952
  6. Step 6: Final answer
    x = 83,162.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.