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Finding the Third Proportional to 17,776 and 41,150

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Solution

The third proportional to 17,776 and 41,150 is: 95,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 41,150 = 41,150 : x
  2. Step 2: Convert to fraction form
    17,776/41,150 = 41,150/x
  3. Step 3: Cross multiply
    17,776x = 41,150 × 41,150
  4. Step 4: Simplify right side
    17,776x = 1,693,322,500
  5. Step 5: Solve for x
    x = 1,693,322,500/17,776
  6. Step 6: Final answer
    x = 95,258.92

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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.