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Finding the Third Proportional to 16,259 and 23,769

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Solution

The third proportional to 16,259 and 23,769 is: 34,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259 : 23,769 = 23,769 : x
  2. Step 2: Convert to fraction form
    16,259/23,769 = 23,769/x
  3. Step 3: Cross multiply
    16,259x = 23,769 × 23,769
  4. Step 4: Simplify right side
    16,259x = 564,965,361
  5. Step 5: Solve for x
    x = 564,965,361/16,259
  6. Step 6: Final answer
    x = 34,747.85

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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.