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Finding the Third Proportional to 11,080 and 25,625

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Solution

The third proportional to 11,080 and 25,625 is: 59,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 25,625 = 25,625 : x
  2. Step 2: Convert to fraction form
    11,080/25,625 = 25,625/x
  3. Step 3: Cross multiply
    11,080x = 25,625 × 25,625
  4. Step 4: Simplify right side
    11,080x = 656,640,625
  5. Step 5: Solve for x
    x = 656,640,625/11,080
  6. Step 6: Final answer
    x = 59,263.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.