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Finding the Third Proportional to 17,976 and 38,952

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Solution

The third proportional to 17,976 and 38,952 is: 84,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 38,952 = 38,952 : x
  2. Step 2: Convert to fraction form
    17,976/38,952 = 38,952/x
  3. Step 3: Cross multiply
    17,976x = 38,952 × 38,952
  4. Step 4: Simplify right side
    17,976x = 1,517,258,304
  5. Step 5: Solve for x
    x = 1,517,258,304/17,976
  6. Step 6: Final answer
    x = 84,404.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.