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Finding the Third Proportional to 26,851.50 and 51,759

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Solution

The third proportional to 26,851.50 and 51,759 is: 99,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,851.50 : 51,759 = 51,759 : x
  2. Step 2: Convert to fraction form
    26,851.50/51,759 = 51,759/x
  3. Step 3: Cross multiply
    26,851.50x = 51,759 × 51,759
  4. Step 4: Simplify right side
    26,851.50x = 2,678,994,081
  5. Step 5: Solve for x
    x = 2,678,994,081/26,851.50
  6. Step 6: Final answer
    x = 99,770.74

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.