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Finding the Third Proportional to 40,651 and 61,759

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Solution

The third proportional to 40,651 and 61,759 is: 93,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,651 : 61,759 = 61,759 : x
  2. Step 2: Convert to fraction form
    40,651/61,759 = 61,759/x
  3. Step 3: Cross multiply
    40,651x = 61,759 × 61,759
  4. Step 4: Simplify right side
    40,651x = 3,814,174,081
  5. Step 5: Solve for x
    x = 3,814,174,081/40,651
  6. Step 6: Final answer
    x = 93,827.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.