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Finding the Third Proportional to 4,357.13 and 5,793.19

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Solution

The third proportional to 4,357.13 and 5,793.19 is: 7,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.13 : 5,793.19 = 5,793.19 : x
  2. Step 2: Convert to fraction form
    4,357.13/5,793.19 = 5,793.19/x
  3. Step 3: Cross multiply
    4,357.13x = 5,793.19 × 5,793.19
  4. Step 4: Simplify right side
    4,357.13x = 33,561,021.41
  5. Step 5: Solve for x
    x = 33,561,021.41/4,357.13
  6. Step 6: Final answer
    x = 7,702.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.