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Finding the Third Proportional to 20,306.81 and 31,382.16

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Solution

The third proportional to 20,306.81 and 31,382.16 is: 48,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.81 : 31,382.16 = 31,382.16 : x
  2. Step 2: Convert to fraction form
    20,306.81/31,382.16 = 31,382.16/x
  3. Step 3: Cross multiply
    20,306.81x = 31,382.16 × 31,382.16
  4. Step 4: Simplify right side
    20,306.81x = 984,839,730.90
  5. Step 5: Solve for x
    x = 984,839,730.90/20,306.81
  6. Step 6: Final answer
    x = 48,498.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.