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Finding the Third Proportional to 16,092 and 24,763

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Solution

The third proportional to 16,092 and 24,763 is: 38,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 24,763 = 24,763 : x
  2. Step 2: Convert to fraction form
    16,092/24,763 = 24,763/x
  3. Step 3: Cross multiply
    16,092x = 24,763 × 24,763
  4. Step 4: Simplify right side
    16,092x = 613,206,169
  5. Step 5: Solve for x
    x = 613,206,169/16,092
  6. Step 6: Final answer
    x = 38,106.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.