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Finding the Third Proportional to 43,022.25 and 92,637

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Solution

The third proportional to 43,022.25 and 92,637 is: 199,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,022.25 : 92,637 = 92,637 : x
  2. Step 2: Convert to fraction form
    43,022.25/92,637 = 92,637/x
  3. Step 3: Cross multiply
    43,022.25x = 92,637 × 92,637
  4. Step 4: Simplify right side
    43,022.25x = 8,581,613,769
  5. Step 5: Solve for x
    x = 8,581,613,769/43,022.25
  6. Step 6: Final answer
    x = 199,469.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.