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Finding the Third Proportional to 27,132.47 and 40,869.56

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Solution

The third proportional to 27,132.47 and 40,869.56 is: 61,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.47 : 40,869.56 = 40,869.56 : x
  2. Step 2: Convert to fraction form
    27,132.47/40,869.56 = 40,869.56/x
  3. Step 3: Cross multiply
    27,132.47x = 40,869.56 × 40,869.56
  4. Step 4: Simplify right side
    27,132.47x = 1,670,321,138.94
  5. Step 5: Solve for x
    x = 1,670,321,138.94/27,132.47
  6. Step 6: Final answer
    x = 61,561.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.