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Finding the Third Proportional to 26,684.25 and 41,857.50

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Solution

The third proportional to 26,684.25 and 41,857.50 is: 65,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.25 : 41,857.50 = 41,857.50 : x
  2. Step 2: Convert to fraction form
    26,684.25/41,857.50 = 41,857.50/x
  3. Step 3: Cross multiply
    26,684.25x = 41,857.50 × 41,857.50
  4. Step 4: Simplify right side
    26,684.25x = 1,752,050,306.25
  5. Step 5: Solve for x
    x = 1,752,050,306.25/26,684.25
  6. Step 6: Final answer
    x = 65,658.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.