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Finding the Third Proportional to 16,659 and 24,408

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Solution

The third proportional to 16,659 and 24,408 is: 35,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,659 : 24,408 = 24,408 : x
  2. Step 2: Convert to fraction form
    16,659/24,408 = 24,408/x
  3. Step 3: Cross multiply
    16,659x = 24,408 × 24,408
  4. Step 4: Simplify right side
    16,659x = 595,750,464
  5. Step 5: Solve for x
    x = 595,750,464/16,659
  6. Step 6: Final answer
    x = 35,761.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.