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Finding the Third Proportional to 5,451 and 11,133.75

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Solution

The third proportional to 5,451 and 11,133.75 is: 22,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451 : 11,133.75 = 11,133.75 : x
  2. Step 2: Convert to fraction form
    5,451/11,133.75 = 11,133.75/x
  3. Step 3: Cross multiply
    5,451x = 11,133.75 × 11,133.75
  4. Step 4: Simplify right side
    5,451x = 123,960,389.06
  5. Step 5: Solve for x
    x = 123,960,389.06/5,451
  6. Step 6: Final answer
    x = 22,740.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.