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Finding the Third Proportional to 8,264.25 and 12,760.88

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Solution

The third proportional to 8,264.25 and 12,760.88 is: 19,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.25 : 12,760.88 = 12,760.88 : x
  2. Step 2: Convert to fraction form
    8,264.25/12,760.88 = 12,760.88/x
  3. Step 3: Cross multiply
    8,264.25x = 12,760.88 × 12,760.88
  4. Step 4: Simplify right side
    8,264.25x = 162,839,930.77
  5. Step 5: Solve for x
    x = 162,839,930.77/8,264.25
  6. Step 6: Final answer
    x = 19,704.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.