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Finding the Third Proportional to 26,204.13 and 40,863.16

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Solution

The third proportional to 26,204.13 and 40,863.16 is: 63,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.13 : 40,863.16 = 40,863.16 : x
  2. Step 2: Convert to fraction form
    26,204.13/40,863.16 = 40,863.16/x
  3. Step 3: Cross multiply
    26,204.13x = 40,863.16 × 40,863.16
  4. Step 4: Simplify right side
    26,204.13x = 1,669,797,458.90
  5. Step 5: Solve for x
    x = 1,669,797,458.90/26,204.13
  6. Step 6: Final answer
    x = 63,722.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.