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Finding the Third Proportional to 27,132.47 and 56,725.31

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Solution

The third proportional to 27,132.47 and 56,725.31 is: 118,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.47 : 56,725.31 = 56,725.31 : x
  2. Step 2: Convert to fraction form
    27,132.47/56,725.31 = 56,725.31/x
  3. Step 3: Cross multiply
    27,132.47x = 56,725.31 × 56,725.31
  4. Step 4: Simplify right side
    27,132.47x = 3,217,761,078.22
  5. Step 5: Solve for x
    x = 3,217,761,078.22/27,132.47
  6. Step 6: Final answer
    x = 118,594.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.