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Finding the Third Proportional to 16,567 and 24,859

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Solution

The third proportional to 16,567 and 24,859 is: 37,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567 : 24,859 = 24,859 : x
  2. Step 2: Convert to fraction form
    16,567/24,859 = 24,859/x
  3. Step 3: Cross multiply
    16,567x = 24,859 × 24,859
  4. Step 4: Simplify right side
    16,567x = 617,969,881
  5. Step 5: Solve for x
    x = 617,969,881/16,567
  6. Step 6: Final answer
    x = 37,301.25

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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.