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Finding the Third Proportional to 26,314.50 and 50,204.25

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Solution

The third proportional to 26,314.50 and 50,204.25 is: 95,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314.50 : 50,204.25 = 50,204.25 : x
  2. Step 2: Convert to fraction form
    26,314.50/50,204.25 = 50,204.25/x
  3. Step 3: Cross multiply
    26,314.50x = 50,204.25 × 50,204.25
  4. Step 4: Simplify right side
    26,314.50x = 2,520,466,718.06
  5. Step 5: Solve for x
    x = 2,520,466,718.06/26,314.50
  6. Step 6: Final answer
    x = 95,782.43

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.