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Finding the Third Proportional to 8,255.25 and 12,691.69

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Solution

The third proportional to 8,255.25 and 12,691.69 is: 19,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.25 : 12,691.69 = 12,691.69 : x
  2. Step 2: Convert to fraction form
    8,255.25/12,691.69 = 12,691.69/x
  3. Step 3: Cross multiply
    8,255.25x = 12,691.69 × 12,691.69
  4. Step 4: Simplify right side
    8,255.25x = 161,078,931.60
  5. Step 5: Solve for x
    x = 161,078,931.60/8,255.25
  6. Step 6: Final answer
    x = 19,512.30

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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.