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Finding the Third Proportional to 31,927.92 and 68,443.42

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Solution

The third proportional to 31,927.92 and 68,443.42 is: 146,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927.92 : 68,443.42 = 68,443.42 : x
  2. Step 2: Convert to fraction form
    31,927.92/68,443.42 = 68,443.42/x
  3. Step 3: Cross multiply
    31,927.92x = 68,443.42 × 68,443.42
  4. Step 4: Simplify right side
    31,927.92x = 4,684,501,463.25
  5. Step 5: Solve for x
    x = 4,684,501,463.25/31,927.92
  6. Step 6: Final answer
    x = 146,721.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.