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Finding the Third Proportional to 27,843 and 40,228.50

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Solution

The third proportional to 27,843 and 40,228.50 is: 58,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843 : 40,228.50 = 40,228.50 : x
  2. Step 2: Convert to fraction form
    27,843/40,228.50 = 40,228.50/x
  3. Step 3: Cross multiply
    27,843x = 40,228.50 × 40,228.50
  4. Step 4: Simplify right side
    27,843x = 1,618,332,212.25
  5. Step 5: Solve for x
    x = 1,618,332,212.25/27,843
  6. Step 6: Final answer
    x = 58,123.49

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1.5x scale

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.