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Finding the Third Proportional to 31,753.50 and 46,680

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Solution

The third proportional to 31,753.50 and 46,680 is: 68,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.50 : 46,680 = 46,680 : x
  2. Step 2: Convert to fraction form
    31,753.50/46,680 = 46,680/x
  3. Step 3: Cross multiply
    31,753.50x = 46,680 × 46,680
  4. Step 4: Simplify right side
    31,753.50x = 2,179,022,400
  5. Step 5: Solve for x
    x = 2,179,022,400/31,753.50
  6. Step 6: Final answer
    x = 68,623.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.