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Finding the Third Proportional to 2,869.17 and 4,944.80

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Solution

The third proportional to 2,869.17 and 4,944.80 is: 8,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.17 : 4,944.80 = 4,944.80 : x
  2. Step 2: Convert to fraction form
    2,869.17/4,944.80 = 4,944.80/x
  3. Step 3: Cross multiply
    2,869.17x = 4,944.80 × 4,944.80
  4. Step 4: Simplify right side
    2,869.17x = 24,451,016.14
  5. Step 5: Solve for x
    x = 24,451,016.14/2,869.17
  6. Step 6: Final answer
    x = 8,521.98

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.