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Finding the Third Proportional to 17,322 and 25,872

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Solution

The third proportional to 17,322 and 25,872 is: 38,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322 : 25,872 = 25,872 : x
  2. Step 2: Convert to fraction form
    17,322/25,872 = 25,872/x
  3. Step 3: Cross multiply
    17,322x = 25,872 × 25,872
  4. Step 4: Simplify right side
    17,322x = 669,360,384
  5. Step 5: Solve for x
    x = 669,360,384/17,322
  6. Step 6: Final answer
    x = 38,642.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.