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Finding the Third Proportional to 41,800 and 68,617

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Solution

The third proportional to 41,800 and 68,617 is: 112,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 68,617 = 68,617 : x
  2. Step 2: Convert to fraction form
    41,800/68,617 = 68,617/x
  3. Step 3: Cross multiply
    41,800x = 68,617 × 68,617
  4. Step 4: Simplify right side
    41,800x = 4,708,292,689
  5. Step 5: Solve for x
    x = 4,708,292,689/41,800
  6. Step 6: Final answer
    x = 112,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.