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Finding the Third Proportional to 2,524.50 and 3,768.19

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Solution

The third proportional to 2,524.50 and 3,768.19 is: 5,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.50 : 3,768.19 = 3,768.19 : x
  2. Step 2: Convert to fraction form
    2,524.50/3,768.19 = 3,768.19/x
  3. Step 3: Cross multiply
    2,524.50x = 3,768.19 × 3,768.19
  4. Step 4: Simplify right side
    2,524.50x = 14,199,237.04
  5. Step 5: Solve for x
    x = 14,199,237.04/2,524.50
  6. Step 6: Final answer
    x = 5,624.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.