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Finding the Third Proportional to 2,468.44 and 5,284.30

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Solution

The third proportional to 2,468.44 and 5,284.30 is: 11,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 5,284.30 = 5,284.30 : x
  2. Step 2: Convert to fraction form
    2,468.44/5,284.30 = 5,284.30/x
  3. Step 3: Cross multiply
    2,468.44x = 5,284.30 × 5,284.30
  4. Step 4: Simplify right side
    2,468.44x = 27,923,834.75
  5. Step 5: Solve for x
    x = 27,923,834.75/2,468.44
  6. Step 6: Final answer
    x = 11,312.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.