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Finding the Third Proportional to 15,769 and 33,654

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Solution

The third proportional to 15,769 and 33,654 is: 71,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769 : 33,654 = 33,654 : x
  2. Step 2: Convert to fraction form
    15,769/33,654 = 33,654/x
  3. Step 3: Cross multiply
    15,769x = 33,654 × 33,654
  4. Step 4: Simplify right side
    15,769x = 1,132,591,716
  5. Step 5: Solve for x
    x = 1,132,591,716/15,769
  6. Step 6: Final answer
    x = 71,823.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.