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Finding the Third Proportional to 8,382.38 and 12,376.88

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Solution

The third proportional to 8,382.38 and 12,376.88 is: 18,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.38 : 12,376.88 = 12,376.88 : x
  2. Step 2: Convert to fraction form
    8,382.38/12,376.88 = 12,376.88/x
  3. Step 3: Cross multiply
    8,382.38x = 12,376.88 × 12,376.88
  4. Step 4: Simplify right side
    8,382.38x = 153,187,034.77
  5. Step 5: Solve for x
    x = 153,187,034.77/8,382.38
  6. Step 6: Final answer
    x = 18,274.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.