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Finding the Third Proportional to 5,228.30 and 11,398.46

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Solution

The third proportional to 5,228.30 and 11,398.46 is: 24,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 11,398.46 = 11,398.46 : x
  2. Step 2: Convert to fraction form
    5,228.30/11,398.46 = 11,398.46/x
  3. Step 3: Cross multiply
    5,228.30x = 11,398.46 × 11,398.46
  4. Step 4: Simplify right side
    5,228.30x = 129,924,800.43
  5. Step 5: Solve for x
    x = 129,924,800.43/5,228.30
  6. Step 6: Final answer
    x = 24,850.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.