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Finding the Third Proportional to 31,920.50 and 64,753

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Solution

The third proportional to 31,920.50 and 64,753 is: 131,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.50 : 64,753 = 64,753 : x
  2. Step 2: Convert to fraction form
    31,920.50/64,753 = 64,753/x
  3. Step 3: Cross multiply
    31,920.50x = 64,753 × 64,753
  4. Step 4: Simplify right side
    31,920.50x = 4,192,951,009
  5. Step 5: Solve for x
    x = 4,192,951,009/31,920.50
  6. Step 6: Final answer
    x = 131,356.06

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.