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Finding the Third Proportional to 43,022 and 93,982

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Solution

The third proportional to 43,022 and 93,982 is: 205,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,022 : 93,982 = 93,982 : x
  2. Step 2: Convert to fraction form
    43,022/93,982 = 93,982/x
  3. Step 3: Cross multiply
    43,022x = 93,982 × 93,982
  4. Step 4: Simplify right side
    43,022x = 8,832,616,324
  5. Step 5: Solve for x
    x = 8,832,616,324/43,022
  6. Step 6: Final answer
    x = 205,304.64

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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.