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Finding the Third Proportional to 27,641.25 and 41,601.09

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Solution

The third proportional to 27,641.25 and 41,601.09 is: 62,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.25 : 41,601.09 = 41,601.09 : x
  2. Step 2: Convert to fraction form
    27,641.25/41,601.09 = 41,601.09/x
  3. Step 3: Cross multiply
    27,641.25x = 41,601.09 × 41,601.09
  4. Step 4: Simplify right side
    27,641.25x = 1,730,651,001.20
  5. Step 5: Solve for x
    x = 1,730,651,001.20/27,641.25
  6. Step 6: Final answer
    x = 62,611.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.