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Finding the Third Proportional to 26,744.24 and 41,389.26

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Solution

The third proportional to 26,744.24 and 41,389.26 is: 64,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744.24 : 41,389.26 = 41,389.26 : x
  2. Step 2: Convert to fraction form
    26,744.24/41,389.26 = 41,389.26/x
  3. Step 3: Cross multiply
    26,744.24x = 41,389.26 × 41,389.26
  4. Step 4: Simplify right side
    26,744.24x = 1,713,070,823.95
  5. Step 5: Solve for x
    x = 1,713,070,823.95/26,744.24
  6. Step 6: Final answer
    x = 64,053.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.