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Finding the Third Proportional to 15,250 and 32,930

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Solution

The third proportional to 15,250 and 32,930 is: 71,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,250 : 32,930 = 32,930 : x
  2. Step 2: Convert to fraction form
    15,250/32,930 = 32,930/x
  3. Step 3: Cross multiply
    15,250x = 32,930 × 32,930
  4. Step 4: Simplify right side
    15,250x = 1,084,384,900
  5. Step 5: Solve for x
    x = 1,084,384,900/15,250
  6. Step 6: Final answer
    x = 71,107.21

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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.