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Finding the Third Proportional to 8,019.84 and 12,447.84

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Solution

The third proportional to 8,019.84 and 12,447.84 is: 19,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.84 : 12,447.84 = 12,447.84 : x
  2. Step 2: Convert to fraction form
    8,019.84/12,447.84 = 12,447.84/x
  3. Step 3: Cross multiply
    8,019.84x = 12,447.84 × 12,447.84
  4. Step 4: Simplify right side
    8,019.84x = 154,948,814.02
  5. Step 5: Solve for x
    x = 154,948,814.02/8,019.84
  6. Step 6: Final answer
    x = 19,320.68

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Why These Related Problems?

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