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Finding the Third Proportional to 18,080 and 41,858

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Solution

The third proportional to 18,080 and 41,858 is: 96,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,080 : 41,858 = 41,858 : x
  2. Step 2: Convert to fraction form
    18,080/41,858 = 41,858/x
  3. Step 3: Cross multiply
    18,080x = 41,858 × 41,858
  4. Step 4: Simplify right side
    18,080x = 1,752,092,164
  5. Step 5: Solve for x
    x = 1,752,092,164/18,080
  6. Step 6: Final answer
    x = 96,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.