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Finding the Third Proportional to 8,473.25 and 12,587.25

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Solution

The third proportional to 8,473.25 and 12,587.25 is: 18,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.25 : 12,587.25 = 12,587.25 : x
  2. Step 2: Convert to fraction form
    8,473.25/12,587.25 = 12,587.25/x
  3. Step 3: Cross multiply
    8,473.25x = 12,587.25 × 12,587.25
  4. Step 4: Simplify right side
    8,473.25x = 158,438,862.56
  5. Step 5: Solve for x
    x = 158,438,862.56/8,473.25
  6. Step 6: Final answer
    x = 18,698.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.