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Finding the Third Proportional to 41,822.25 and 85,683

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Solution

The third proportional to 41,822.25 and 85,683 is: 175,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,822.25 : 85,683 = 85,683 : x
  2. Step 2: Convert to fraction form
    41,822.25/85,683 = 85,683/x
  3. Step 3: Cross multiply
    41,822.25x = 85,683 × 85,683
  4. Step 4: Simplify right side
    41,822.25x = 7,341,576,489
  5. Step 5: Solve for x
    x = 7,341,576,489/41,822.25
  6. Step 6: Final answer
    x = 175,542.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.