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Finding the Third Proportional to 40,481 and 56,609

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Solution

The third proportional to 40,481 and 56,609 is: 79,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,481 : 56,609 = 56,609 : x
  2. Step 2: Convert to fraction form
    40,481/56,609 = 56,609/x
  3. Step 3: Cross multiply
    40,481x = 56,609 × 56,609
  4. Step 4: Simplify right side
    40,481x = 3,204,578,881
  5. Step 5: Solve for x
    x = 3,204,578,881/40,481
  6. Step 6: Final answer
    x = 79,162.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.