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Finding the Third Proportional to 21,372 and 32,438

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Solution

The third proportional to 21,372 and 32,438 is: 49,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372 : 32,438 = 32,438 : x
  2. Step 2: Convert to fraction form
    21,372/32,438 = 32,438/x
  3. Step 3: Cross multiply
    21,372x = 32,438 × 32,438
  4. Step 4: Simplify right side
    21,372x = 1,052,223,844
  5. Step 5: Solve for x
    x = 1,052,223,844/21,372
  6. Step 6: Final answer
    x = 49,233.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.