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Finding the Third Proportional to 41,721.75 and 92,452.13

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Solution

The third proportional to 41,721.75 and 92,452.13 is: 204,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,721.75 : 92,452.13 = 92,452.13 : x
  2. Step 2: Convert to fraction form
    41,721.75/92,452.13 = 92,452.13/x
  3. Step 3: Cross multiply
    41,721.75x = 92,452.13 × 92,452.13
  4. Step 4: Simplify right side
    41,721.75x = 8,547,395,417.02
  5. Step 5: Solve for x
    x = 8,547,395,417.02/41,721.75
  6. Step 6: Final answer
    x = 204,866.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.