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Finding the Third Proportional to 24,540 and 32,634

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Solution

The third proportional to 24,540 and 32,634 is: 43,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 32,634 = 32,634 : x
  2. Step 2: Convert to fraction form
    24,540/32,634 = 32,634/x
  3. Step 3: Cross multiply
    24,540x = 32,634 × 32,634
  4. Step 4: Simplify right side
    24,540x = 1,064,977,956
  5. Step 5: Solve for x
    x = 1,064,977,956/24,540
  6. Step 6: Final answer
    x = 43,397.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.