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Finding the Third Proportional to 5,327.02 and 11,288.11

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Solution

The third proportional to 5,327.02 and 11,288.11 is: 23,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.02 : 11,288.11 = 11,288.11 : x
  2. Step 2: Convert to fraction form
    5,327.02/11,288.11 = 11,288.11/x
  3. Step 3: Cross multiply
    5,327.02x = 11,288.11 × 11,288.11
  4. Step 4: Simplify right side
    5,327.02x = 127,421,413.26
  5. Step 5: Solve for x
    x = 127,421,413.26/5,327.02
  6. Step 6: Final answer
    x = 23,919.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.