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Finding the Third Proportional to 2,284.03 and 3,487.22

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Solution

The third proportional to 2,284.03 and 3,487.22 is: 5,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.03 : 3,487.22 = 3,487.22 : x
  2. Step 2: Convert to fraction form
    2,284.03/3,487.22 = 3,487.22/x
  3. Step 3: Cross multiply
    2,284.03x = 3,487.22 × 3,487.22
  4. Step 4: Simplify right side
    2,284.03x = 12,160,694.61
  5. Step 5: Solve for x
    x = 12,160,694.61/2,284.03
  6. Step 6: Final answer
    x = 5,324.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.