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Finding the Third Proportional to 2,491.88 and 3,869.44

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Solution

The third proportional to 2,491.88 and 3,869.44 is: 6,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.88 : 3,869.44 = 3,869.44 : x
  2. Step 2: Convert to fraction form
    2,491.88/3,869.44 = 3,869.44/x
  3. Step 3: Cross multiply
    2,491.88x = 3,869.44 × 3,869.44
  4. Step 4: Simplify right side
    2,491.88x = 14,972,546.57
  5. Step 5: Solve for x
    x = 14,972,546.57/2,491.88
  6. Step 6: Final answer
    x = 6,008.55

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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.