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Finding the Third Proportional to 4,434.75 and 7,209.84

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Solution

The third proportional to 4,434.75 and 7,209.84 is: 11,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.75 : 7,209.84 = 7,209.84 : x
  2. Step 2: Convert to fraction form
    4,434.75/7,209.84 = 7,209.84/x
  3. Step 3: Cross multiply
    4,434.75x = 7,209.84 × 7,209.84
  4. Step 4: Simplify right side
    4,434.75x = 51,981,846.90
  5. Step 5: Solve for x
    x = 51,981,846.90/4,434.75
  6. Step 6: Final answer
    x = 11,721.48

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.