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Finding the Third Proportional to 16,771 and 24,562

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Solution

The third proportional to 16,771 and 24,562 is: 35,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771 : 24,562 = 24,562 : x
  2. Step 2: Convert to fraction form
    16,771/24,562 = 24,562/x
  3. Step 3: Cross multiply
    16,771x = 24,562 × 24,562
  4. Step 4: Simplify right side
    16,771x = 603,291,844
  5. Step 5: Solve for x
    x = 603,291,844/16,771
  6. Step 6: Final answer
    x = 35,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.