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Finding the Third Proportional to 39,918 and 55,502.25

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Solution

The third proportional to 39,918 and 55,502.25 is: 77,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,918 : 55,502.25 = 55,502.25 : x
  2. Step 2: Convert to fraction form
    39,918/55,502.25 = 55,502.25/x
  3. Step 3: Cross multiply
    39,918x = 55,502.25 × 55,502.25
  4. Step 4: Simplify right side
    39,918x = 3,080,499,755.06
  5. Step 5: Solve for x
    x = 3,080,499,755.06/39,918
  6. Step 6: Final answer
    x = 77,170.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.