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Finding the Third Proportional to 7,819.88 and 12,114.56

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Solution

The third proportional to 7,819.88 and 12,114.56 is: 18,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.88 : 12,114.56 = 12,114.56 : x
  2. Step 2: Convert to fraction form
    7,819.88/12,114.56 = 12,114.56/x
  3. Step 3: Cross multiply
    7,819.88x = 12,114.56 × 12,114.56
  4. Step 4: Simplify right side
    7,819.88x = 146,762,624.57
  5. Step 5: Solve for x
    x = 146,762,624.57/7,819.88
  6. Step 6: Final answer
    x = 18,767.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.