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Finding the Third Proportional to 16,539 and 24,846

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Solution

The third proportional to 16,539 and 24,846 is: 37,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 24,846 = 24,846 : x
  2. Step 2: Convert to fraction form
    16,539/24,846 = 24,846/x
  3. Step 3: Cross multiply
    16,539x = 24,846 × 24,846
  4. Step 4: Simplify right side
    16,539x = 617,323,716
  5. Step 5: Solve for x
    x = 617,323,716/16,539
  6. Step 6: Final answer
    x = 37,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.