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Finding the Third Proportional to 41,568.19 and 54,211.78

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Solution

The third proportional to 41,568.19 and 54,211.78 is: 70,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,568.19 : 54,211.78 = 54,211.78 : x
  2. Step 2: Convert to fraction form
    41,568.19/54,211.78 = 54,211.78/x
  3. Step 3: Cross multiply
    41,568.19x = 54,211.78 × 54,211.78
  4. Step 4: Simplify right side
    41,568.19x = 2,938,917,226.30
  5. Step 5: Solve for x
    x = 2,938,917,226.30/41,568.19
  6. Step 6: Final answer
    x = 70,701.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.