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Finding the Third Proportional to 5,739.19 and 7,563.38

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Solution

The third proportional to 5,739.19 and 7,563.38 is: 9,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.19 : 7,563.38 = 7,563.38 : x
  2. Step 2: Convert to fraction form
    5,739.19/7,563.38 = 7,563.38/x
  3. Step 3: Cross multiply
    5,739.19x = 7,563.38 × 7,563.38
  4. Step 4: Simplify right side
    5,739.19x = 57,204,641.39
  5. Step 5: Solve for x
    x = 57,204,641.39/5,739.19
  6. Step 6: Final answer
    x = 9,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.