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Finding the Third Proportional to 31,330.34 and 67,654.41

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Solution

The third proportional to 31,330.34 and 67,654.41 is: 146,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330.34 : 67,654.41 = 67,654.41 : x
  2. Step 2: Convert to fraction form
    31,330.34/67,654.41 = 67,654.41/x
  3. Step 3: Cross multiply
    31,330.34x = 67,654.41 × 67,654.41
  4. Step 4: Simplify right side
    31,330.34x = 4,577,118,685.04
  5. Step 5: Solve for x
    x = 4,577,118,685.04/31,330.34
  6. Step 6: Final answer
    x = 146,092.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.