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Finding the Third Proportional to 3,742.88 and 6,237.84

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Solution

The third proportional to 3,742.88 and 6,237.84 is: 10,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.88 : 6,237.84 = 6,237.84 : x
  2. Step 2: Convert to fraction form
    3,742.88/6,237.84 = 6,237.84/x
  3. Step 3: Cross multiply
    3,742.88x = 6,237.84 × 6,237.84
  4. Step 4: Simplify right side
    3,742.88x = 38,910,694.65
  5. Step 5: Solve for x
    x = 38,910,694.65/3,742.88
  6. Step 6: Final answer
    x = 10,395.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.