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Finding the Third Proportional to 27,943.31 and 42,177.38

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Solution

The third proportional to 27,943.31 and 42,177.38 is: 63,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.31 : 42,177.38 = 42,177.38 : x
  2. Step 2: Convert to fraction form
    27,943.31/42,177.38 = 42,177.38/x
  3. Step 3: Cross multiply
    27,943.31x = 42,177.38 × 42,177.38
  4. Step 4: Simplify right side
    27,943.31x = 1,778,930,961.89
  5. Step 5: Solve for x
    x = 1,778,930,961.89/27,943.31
  6. Step 6: Final answer
    x = 63,662.14

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