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Finding the Third Proportional to 3,432.38 and 3,837.94

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Solution

The third proportional to 3,432.38 and 3,837.94 is: 4,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.38 : 3,837.94 = 3,837.94 : x
  2. Step 2: Convert to fraction form
    3,432.38/3,837.94 = 3,837.94/x
  3. Step 3: Cross multiply
    3,432.38x = 3,837.94 × 3,837.94
  4. Step 4: Simplify right side
    3,432.38x = 14,729,764.25
  5. Step 5: Solve for x
    x = 14,729,764.25/3,432.38
  6. Step 6: Final answer
    x = 4,291.42

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.