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Finding the Third Proportional to 8,114.75 and 12,139.69

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Solution

The third proportional to 8,114.75 and 12,139.69 is: 18,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.75 : 12,139.69 = 12,139.69 : x
  2. Step 2: Convert to fraction form
    8,114.75/12,139.69 = 12,139.69/x
  3. Step 3: Cross multiply
    8,114.75x = 12,139.69 × 12,139.69
  4. Step 4: Simplify right side
    8,114.75x = 147,372,123.74
  5. Step 5: Solve for x
    x = 147,372,123.74/8,114.75
  6. Step 6: Final answer
    x = 18,161.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.