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Finding the Third Proportional to 17,722 and 27,424

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Solution

The third proportional to 17,722 and 27,424 is: 42,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 27,424 = 27,424 : x
  2. Step 2: Convert to fraction form
    17,722/27,424 = 27,424/x
  3. Step 3: Cross multiply
    17,722x = 27,424 × 27,424
  4. Step 4: Simplify right side
    17,722x = 752,075,776
  5. Step 5: Solve for x
    x = 752,075,776/17,722
  6. Step 6: Final answer
    x = 42,437.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.