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Finding the Third Proportional to 5,563.61 and 7,550.92

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Solution

The third proportional to 5,563.61 and 7,550.92 is: 10,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.61 : 7,550.92 = 7,550.92 : x
  2. Step 2: Convert to fraction form
    5,563.61/7,550.92 = 7,550.92/x
  3. Step 3: Cross multiply
    5,563.61x = 7,550.92 × 7,550.92
  4. Step 4: Simplify right side
    5,563.61x = 57,016,340.05
  5. Step 5: Solve for x
    x = 57,016,340.05/5,563.61
  6. Step 6: Final answer
    x = 10,248.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.