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Finding the Third Proportional to 40,829 and 62,458

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Solution

The third proportional to 40,829 and 62,458 is: 95,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,829 : 62,458 = 62,458 : x
  2. Step 2: Convert to fraction form
    40,829/62,458 = 62,458/x
  3. Step 3: Cross multiply
    40,829x = 62,458 × 62,458
  4. Step 4: Simplify right side
    40,829x = 3,901,001,764
  5. Step 5: Solve for x
    x = 3,901,001,764/40,829
  6. Step 6: Final answer
    x = 95,544.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.