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Finding the Third Proportional to 7,814.81 and 12,118.78

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Solution

The third proportional to 7,814.81 and 12,118.78 is: 18,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.81 : 12,118.78 = 12,118.78 : x
  2. Step 2: Convert to fraction form
    7,814.81/12,118.78 = 12,118.78/x
  3. Step 3: Cross multiply
    7,814.81x = 12,118.78 × 12,118.78
  4. Step 4: Simplify right side
    7,814.81x = 146,864,858.99
  5. Step 5: Solve for x
    x = 146,864,858.99/7,814.81
  6. Step 6: Final answer
    x = 18,793.14

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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.