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Finding the Third Proportional to 12,781.59 and 27,340.13

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Solution

The third proportional to 12,781.59 and 27,340.13 is: 58,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.59 : 27,340.13 = 27,340.13 : x
  2. Step 2: Convert to fraction form
    12,781.59/27,340.13 = 27,340.13/x
  3. Step 3: Cross multiply
    12,781.59x = 27,340.13 × 27,340.13
  4. Step 4: Simplify right side
    12,781.59x = 747,482,435.02
  5. Step 5: Solve for x
    x = 747,482,435.02/12,781.59
  6. Step 6: Final answer
    x = 58,481.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.