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Finding the Third Proportional to 41,670.75 and 89,857

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Solution

The third proportional to 41,670.75 and 89,857 is: 193,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670.75 : 89,857 = 89,857 : x
  2. Step 2: Convert to fraction form
    41,670.75/89,857 = 89,857/x
  3. Step 3: Cross multiply
    41,670.75x = 89,857 × 89,857
  4. Step 4: Simplify right side
    41,670.75x = 8,074,280,449
  5. Step 5: Solve for x
    x = 8,074,280,449/41,670.75
  6. Step 6: Final answer
    x = 193,763.74

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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.