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Finding the Third Proportional to 5,238.84 and 11,281.78

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Solution

The third proportional to 5,238.84 and 11,281.78 is: 24,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.84 : 11,281.78 = 11,281.78 : x
  2. Step 2: Convert to fraction form
    5,238.84/11,281.78 = 11,281.78/x
  3. Step 3: Cross multiply
    5,238.84x = 11,281.78 × 11,281.78
  4. Step 4: Simplify right side
    5,238.84x = 127,278,588.17
  5. Step 5: Solve for x
    x = 127,278,588.17/5,238.84
  6. Step 6: Final answer
    x = 24,295.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.