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Finding the Third Proportional to 24,676 and 32,398

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Solution

The third proportional to 24,676 and 32,398 is: 42,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676 : 32,398 = 32,398 : x
  2. Step 2: Convert to fraction form
    24,676/32,398 = 32,398/x
  3. Step 3: Cross multiply
    24,676x = 32,398 × 32,398
  4. Step 4: Simplify right side
    24,676x = 1,049,630,404
  5. Step 5: Solve for x
    x = 1,049,630,404/24,676
  6. Step 6: Final answer
    x = 42,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.