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Finding the Third Proportional to 15,286.50 and 31,524.75

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Solution

The third proportional to 15,286.50 and 31,524.75 is: 65,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.50 : 31,524.75 = 31,524.75 : x
  2. Step 2: Convert to fraction form
    15,286.50/31,524.75 = 31,524.75/x
  3. Step 3: Cross multiply
    15,286.50x = 31,524.75 × 31,524.75
  4. Step 4: Simplify right side
    15,286.50x = 993,809,862.56
  5. Step 5: Solve for x
    x = 993,809,862.56/15,286.50
  6. Step 6: Final answer
    x = 65,012.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.