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Finding the Third Proportional to 26,583.19 and 41,165.72

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Solution

The third proportional to 26,583.19 and 41,165.72 is: 63,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.19 : 41,165.72 = 41,165.72 : x
  2. Step 2: Convert to fraction form
    26,583.19/41,165.72 = 41,165.72/x
  3. Step 3: Cross multiply
    26,583.19x = 41,165.72 × 41,165.72
  4. Step 4: Simplify right side
    26,583.19x = 1,694,616,400.20
  5. Step 5: Solve for x
    x = 1,694,616,400.20/26,583.19
  6. Step 6: Final answer
    x = 63,747.68

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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.