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Finding the Third Proportional to 31,044.52 and 49,179.02

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Solution

The third proportional to 31,044.52 and 49,179.02 is: 77,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.52 : 49,179.02 = 49,179.02 : x
  2. Step 2: Convert to fraction form
    31,044.52/49,179.02 = 49,179.02/x
  3. Step 3: Cross multiply
    31,044.52x = 49,179.02 × 49,179.02
  4. Step 4: Simplify right side
    31,044.52x = 2,418,576,346.27
  5. Step 5: Solve for x
    x = 2,418,576,346.27/31,044.52
  6. Step 6: Final answer
    x = 77,906.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.