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Finding the Third Proportional to 27,073.13 and 41,839.31

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Solution

The third proportional to 27,073.13 and 41,839.31 is: 64,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073.13 : 41,839.31 = 41,839.31 : x
  2. Step 2: Convert to fraction form
    27,073.13/41,839.31 = 41,839.31/x
  3. Step 3: Cross multiply
    27,073.13x = 41,839.31 × 41,839.31
  4. Step 4: Simplify right side
    27,073.13x = 1,750,528,070.47
  5. Step 5: Solve for x
    x = 1,750,528,070.47/27,073.13
  6. Step 6: Final answer
    x = 64,659.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.