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Finding the Third Proportional to 26,959.50 and 54,652.50

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Solution

The third proportional to 26,959.50 and 54,652.50 is: 110,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,959.50 : 54,652.50 = 54,652.50 : x
  2. Step 2: Convert to fraction form
    26,959.50/54,652.50 = 54,652.50/x
  3. Step 3: Cross multiply
    26,959.50x = 54,652.50 × 54,652.50
  4. Step 4: Simplify right side
    26,959.50x = 2,986,895,756.25
  5. Step 5: Solve for x
    x = 2,986,895,756.25/26,959.50
  6. Step 6: Final answer
    x = 110,791.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.