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Finding the Third Proportional to 3,742.52 and 6,237.21

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Solution

The third proportional to 3,742.52 and 6,237.21 is: 10,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.52 : 6,237.21 = 6,237.21 : x
  2. Step 2: Convert to fraction form
    3,742.52/6,237.21 = 6,237.21/x
  3. Step 3: Cross multiply
    3,742.52x = 6,237.21 × 6,237.21
  4. Step 4: Simplify right side
    3,742.52x = 38,902,800.28
  5. Step 5: Solve for x
    x = 38,902,800.28/3,742.52
  6. Step 6: Final answer
    x = 10,394.80

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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.