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Finding the Third Proportional to 36,478 and 85,883

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Solution

The third proportional to 36,478 and 85,883 is: 202,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478 : 85,883 = 85,883 : x
  2. Step 2: Convert to fraction form
    36,478/85,883 = 85,883/x
  3. Step 3: Cross multiply
    36,478x = 85,883 × 85,883
  4. Step 4: Simplify right side
    36,478x = 7,375,889,689
  5. Step 5: Solve for x
    x = 7,375,889,689/36,478
  6. Step 6: Final answer
    x = 202,201.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.