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Finding the Third Proportional to 22,842 and 34,722

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Solution

The third proportional to 22,842 and 34,722 is: 52,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842 : 34,722 = 34,722 : x
  2. Step 2: Convert to fraction form
    22,842/34,722 = 34,722/x
  3. Step 3: Cross multiply
    22,842x = 34,722 × 34,722
  4. Step 4: Simplify right side
    22,842x = 1,205,617,284
  5. Step 5: Solve for x
    x = 1,205,617,284/22,842
  6. Step 6: Final answer
    x = 52,780.72

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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.