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Finding the Third Proportional to 26,554.50 and 36,082.13

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Solution

The third proportional to 26,554.50 and 36,082.13 is: 49,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,554.50 : 36,082.13 = 36,082.13 : x
  2. Step 2: Convert to fraction form
    26,554.50/36,082.13 = 36,082.13/x
  3. Step 3: Cross multiply
    26,554.50x = 36,082.13 × 36,082.13
  4. Step 4: Simplify right side
    26,554.50x = 1,301,919,744.52
  5. Step 5: Solve for x
    x = 1,301,919,744.52/26,554.50
  6. Step 6: Final answer
    x = 49,028.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.