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Finding the Third Proportional to 26,590.50 and 54,546.75

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Solution

The third proportional to 26,590.50 and 54,546.75 is: 111,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,590.50 : 54,546.75 = 54,546.75 : x
  2. Step 2: Convert to fraction form
    26,590.50/54,546.75 = 54,546.75/x
  3. Step 3: Cross multiply
    26,590.50x = 54,546.75 × 54,546.75
  4. Step 4: Simplify right side
    26,590.50x = 2,975,347,935.56
  5. Step 5: Solve for x
    x = 2,975,347,935.56/26,590.50
  6. Step 6: Final answer
    x = 111,895.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.