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Finding the Third Proportional to 9,759 and 21,701.25

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Solution

The third proportional to 9,759 and 21,701.25 is: 48,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 21,701.25 = 21,701.25 : x
  2. Step 2: Convert to fraction form
    9,759/21,701.25 = 21,701.25/x
  3. Step 3: Cross multiply
    9,759x = 21,701.25 × 21,701.25
  4. Step 4: Simplify right side
    9,759x = 470,944,251.56
  5. Step 5: Solve for x
    x = 470,944,251.56/9,759
  6. Step 6: Final answer
    x = 48,257.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.