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Finding the Third Proportional to 31,139.02 and 48,348.14

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Solution

The third proportional to 31,139.02 and 48,348.14 is: 75,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139.02 : 48,348.14 = 48,348.14 : x
  2. Step 2: Convert to fraction form
    31,139.02/48,348.14 = 48,348.14/x
  3. Step 3: Cross multiply
    31,139.02x = 48,348.14 × 48,348.14
  4. Step 4: Simplify right side
    31,139.02x = 2,337,542,701.89
  5. Step 5: Solve for x
    x = 2,337,542,701.89/31,139.02
  6. Step 6: Final answer
    x = 75,067.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.