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Finding the Third Proportional to 27,182.25 and 36,578.25

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Solution

The third proportional to 27,182.25 and 36,578.25 is: 49,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.25 : 36,578.25 = 36,578.25 : x
  2. Step 2: Convert to fraction form
    27,182.25/36,578.25 = 36,578.25/x
  3. Step 3: Cross multiply
    27,182.25x = 36,578.25 × 36,578.25
  4. Step 4: Simplify right side
    27,182.25x = 1,337,968,373.06
  5. Step 5: Solve for x
    x = 1,337,968,373.06/27,182.25
  6. Step 6: Final answer
    x = 49,222.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.