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Finding the Third Proportional to 16,077 and 24,891

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Solution

The third proportional to 16,077 and 24,891 is: 38,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 24,891 = 24,891 : x
  2. Step 2: Convert to fraction form
    16,077/24,891 = 24,891/x
  3. Step 3: Cross multiply
    16,077x = 24,891 × 24,891
  4. Step 4: Simplify right side
    16,077x = 619,561,881
  5. Step 5: Solve for x
    x = 619,561,881/16,077
  6. Step 6: Final answer
    x = 38,537.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.