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Finding the Third Proportional to 17,828 and 38,716

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Solution

The third proportional to 17,828 and 38,716 is: 84,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828 : 38,716 = 38,716 : x
  2. Step 2: Convert to fraction form
    17,828/38,716 = 38,716/x
  3. Step 3: Cross multiply
    17,828x = 38,716 × 38,716
  4. Step 4: Simplify right side
    17,828x = 1,498,928,656
  5. Step 5: Solve for x
    x = 1,498,928,656/17,828
  6. Step 6: Final answer
    x = 84,077.22

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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.