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Finding the Third Proportional to 31,347.47 and 67,807.92

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Solution

The third proportional to 31,347.47 and 67,807.92 is: 146,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.47 : 67,807.92 = 67,807.92 : x
  2. Step 2: Convert to fraction form
    31,347.47/67,807.92 = 67,807.92/x
  3. Step 3: Cross multiply
    31,347.47x = 67,807.92 × 67,807.92
  4. Step 4: Simplify right side
    31,347.47x = 4,597,914,269.01
  5. Step 5: Solve for x
    x = 4,597,914,269.01/31,347.47
  6. Step 6: Final answer
    x = 146,675.77

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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.