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Finding the Third Proportional to 17,112 and 25,597

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Solution

The third proportional to 17,112 and 25,597 is: 38,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112 : 25,597 = 25,597 : x
  2. Step 2: Convert to fraction form
    17,112/25,597 = 25,597/x
  3. Step 3: Cross multiply
    17,112x = 25,597 × 25,597
  4. Step 4: Simplify right side
    17,112x = 655,206,409
  5. Step 5: Solve for x
    x = 655,206,409/17,112
  6. Step 6: Final answer
    x = 38,289.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.