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Finding the Third Proportional to 10,759 and 23,217

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Solution

The third proportional to 10,759 and 23,217 is: 50,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759 : 23,217 = 23,217 : x
  2. Step 2: Convert to fraction form
    10,759/23,217 = 23,217/x
  3. Step 3: Cross multiply
    10,759x = 23,217 × 23,217
  4. Step 4: Simplify right side
    10,759x = 539,029,089
  5. Step 5: Solve for x
    x = 539,029,089/10,759
  6. Step 6: Final answer
    x = 50,100.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.