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Finding the Third Proportional to 23,438 and 36,649

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Solution

The third proportional to 23,438 and 36,649 is: 57,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438 : 36,649 = 36,649 : x
  2. Step 2: Convert to fraction form
    23,438/36,649 = 36,649/x
  3. Step 3: Cross multiply
    23,438x = 36,649 × 36,649
  4. Step 4: Simplify right side
    23,438x = 1,343,149,201
  5. Step 5: Solve for x
    x = 1,343,149,201/23,438
  6. Step 6: Final answer
    x = 57,306.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.