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Finding the Third Proportional to 26,404.50 and 54,558

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Solution

The third proportional to 26,404.50 and 54,558 is: 112,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,404.50 : 54,558 = 54,558 : x
  2. Step 2: Convert to fraction form
    26,404.50/54,558 = 54,558/x
  3. Step 3: Cross multiply
    26,404.50x = 54,558 × 54,558
  4. Step 4: Simplify right side
    26,404.50x = 2,976,575,364
  5. Step 5: Solve for x
    x = 2,976,575,364/26,404.50
  6. Step 6: Final answer
    x = 112,729.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.