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Finding the Third Proportional to 23,002 and 42,722

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Solution

The third proportional to 23,002 and 42,722 is: 79,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002 : 42,722 = 42,722 : x
  2. Step 2: Convert to fraction form
    23,002/42,722 = 42,722/x
  3. Step 3: Cross multiply
    23,002x = 42,722 × 42,722
  4. Step 4: Simplify right side
    23,002x = 1,825,169,284
  5. Step 5: Solve for x
    x = 1,825,169,284/23,002
  6. Step 6: Final answer
    x = 79,348.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.