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Finding the Third Proportional to 34,435.13 and 51,450.19

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Solution

The third proportional to 34,435.13 and 51,450.19 is: 76,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.13 : 51,450.19 = 51,450.19 : x
  2. Step 2: Convert to fraction form
    34,435.13/51,450.19 = 51,450.19/x
  3. Step 3: Cross multiply
    34,435.13x = 51,450.19 × 51,450.19
  4. Step 4: Simplify right side
    34,435.13x = 2,647,121,793.79
  5. Step 5: Solve for x
    x = 2,647,121,793.79/34,435.13
  6. Step 6: Final answer
    x = 76,872.72

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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.