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Finding the Third Proportional to 22,873 and 34,715

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Solution

The third proportional to 22,873 and 34,715 is: 52,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873 : 34,715 = 34,715 : x
  2. Step 2: Convert to fraction form
    22,873/34,715 = 34,715/x
  3. Step 3: Cross multiply
    22,873x = 34,715 × 34,715
  4. Step 4: Simplify right side
    22,873x = 1,205,131,225
  5. Step 5: Solve for x
    x = 1,205,131,225/22,873
  6. Step 6: Final answer
    x = 52,687.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.