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Finding the Third Proportional to 8,507.25 and 12,940.88

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Solution

The third proportional to 8,507.25 and 12,940.88 is: 19,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.25 : 12,940.88 = 12,940.88 : x
  2. Step 2: Convert to fraction form
    8,507.25/12,940.88 = 12,940.88/x
  3. Step 3: Cross multiply
    8,507.25x = 12,940.88 × 12,940.88
  4. Step 4: Simplify right side
    8,507.25x = 167,466,245.77
  5. Step 5: Solve for x
    x = 167,466,245.77/8,507.25
  6. Step 6: Final answer
    x = 19,685.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.