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Finding the Third Proportional to 27,309.66 and 41,215.08

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Solution

The third proportional to 27,309.66 and 41,215.08 is: 62,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.66 : 41,215.08 = 41,215.08 : x
  2. Step 2: Convert to fraction form
    27,309.66/41,215.08 = 41,215.08/x
  3. Step 3: Cross multiply
    27,309.66x = 41,215.08 × 41,215.08
  4. Step 4: Simplify right side
    27,309.66x = 1,698,682,664.85
  5. Step 5: Solve for x
    x = 1,698,682,664.85/27,309.66
  6. Step 6: Final answer
    x = 62,200.81

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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.