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Finding the Third Proportional to 8,381.53 and 12,427.59

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Solution

The third proportional to 8,381.53 and 12,427.59 is: 18,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.53 : 12,427.59 = 12,427.59 : x
  2. Step 2: Convert to fraction form
    8,381.53/12,427.59 = 12,427.59/x
  3. Step 3: Cross multiply
    8,381.53x = 12,427.59 × 12,427.59
  4. Step 4: Simplify right side
    8,381.53x = 154,445,086.42
  5. Step 5: Solve for x
    x = 154,445,086.42/8,381.53
  6. Step 6: Final answer
    x = 18,426.83

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.