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Finding the Third Proportional to 27,144.70 and 41,524.31

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Solution

The third proportional to 27,144.70 and 41,524.31 is: 63,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.70 : 41,524.31 = 41,524.31 : x
  2. Step 2: Convert to fraction form
    27,144.70/41,524.31 = 41,524.31/x
  3. Step 3: Cross multiply
    27,144.70x = 41,524.31 × 41,524.31
  4. Step 4: Simplify right side
    27,144.70x = 1,724,268,528.60
  5. Step 5: Solve for x
    x = 1,724,268,528.60/27,144.70
  6. Step 6: Final answer
    x = 63,521.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.