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Finding the Third Proportional to 27,230 and 40,843

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Solution

The third proportional to 27,230 and 40,843 is: 61,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,230 : 40,843 = 40,843 : x
  2. Step 2: Convert to fraction form
    27,230/40,843 = 40,843/x
  3. Step 3: Cross multiply
    27,230x = 40,843 × 40,843
  4. Step 4: Simplify right side
    27,230x = 1,668,150,649
  5. Step 5: Solve for x
    x = 1,668,150,649/27,230
  6. Step 6: Final answer
    x = 61,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.