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Finding the Third Proportional to 15,889 and 34,241

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Solution

The third proportional to 15,889 and 34,241 is: 73,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889 : 34,241 = 34,241 : x
  2. Step 2: Convert to fraction form
    15,889/34,241 = 34,241/x
  3. Step 3: Cross multiply
    15,889x = 34,241 × 34,241
  4. Step 4: Simplify right side
    15,889x = 1,172,446,081
  5. Step 5: Solve for x
    x = 1,172,446,081/15,889
  6. Step 6: Final answer
    x = 73,789.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.