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Finding the Third Proportional to 27,843.50 and 40,229

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Solution

The third proportional to 27,843.50 and 40,229 is: 58,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.50 : 40,229 = 40,229 : x
  2. Step 2: Convert to fraction form
    27,843.50/40,229 = 40,229/x
  3. Step 3: Cross multiply
    27,843.50x = 40,229 × 40,229
  4. Step 4: Simplify right side
    27,843.50x = 1,618,372,441
  5. Step 5: Solve for x
    x = 1,618,372,441/27,843.50
  6. Step 6: Final answer
    x = 58,123.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.