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Finding the Third Proportional to 31,747.78 and 69,398.44

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Solution

The third proportional to 31,747.78 and 69,398.44 is: 151,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.78 : 69,398.44 = 69,398.44 : x
  2. Step 2: Convert to fraction form
    31,747.78/69,398.44 = 69,398.44/x
  3. Step 3: Cross multiply
    31,747.78x = 69,398.44 × 69,398.44
  4. Step 4: Simplify right side
    31,747.78x = 4,816,143,127.44
  5. Step 5: Solve for x
    x = 4,816,143,127.44/31,747.78
  6. Step 6: Final answer
    x = 151,700.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.