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Finding the Third Proportional to 12,681.56 and 27,542.53

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Solution

The third proportional to 12,681.56 and 27,542.53 is: 59,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.56 : 27,542.53 = 27,542.53 : x
  2. Step 2: Convert to fraction form
    12,681.56/27,542.53 = 27,542.53/x
  3. Step 3: Cross multiply
    12,681.56x = 27,542.53 × 27,542.53
  4. Step 4: Simplify right side
    12,681.56x = 758,591,027.66
  5. Step 5: Solve for x
    x = 758,591,027.66/12,681.56
  6. Step 6: Final answer
    x = 59,818.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.