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Finding the Third Proportional to 43,982 and 96,029

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Solution

The third proportional to 43,982 and 96,029 is: 209,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,982 : 96,029 = 96,029 : x
  2. Step 2: Convert to fraction form
    43,982/96,029 = 96,029/x
  3. Step 3: Cross multiply
    43,982x = 96,029 × 96,029
  4. Step 4: Simplify right side
    43,982x = 9,221,568,841
  5. Step 5: Solve for x
    x = 9,221,568,841/43,982
  6. Step 6: Final answer
    x = 209,666.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.