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Finding the Third Proportional to 8,188.59 and 12,434.77

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Solution

The third proportional to 8,188.59 and 12,434.77 is: 18,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.59 : 12,434.77 = 12,434.77 : x
  2. Step 2: Convert to fraction form
    8,188.59/12,434.77 = 12,434.77/x
  3. Step 3: Cross multiply
    8,188.59x = 12,434.77 × 12,434.77
  4. Step 4: Simplify right side
    8,188.59x = 154,623,396.15
  5. Step 5: Solve for x
    x = 154,623,396.15/8,188.59
  6. Step 6: Final answer
    x = 18,882.78

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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.