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Finding the Third Proportional to 2,236.36 and 4,770.14

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Solution

The third proportional to 2,236.36 and 4,770.14 is: 10,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.36 : 4,770.14 = 4,770.14 : x
  2. Step 2: Convert to fraction form
    2,236.36/4,770.14 = 4,770.14/x
  3. Step 3: Cross multiply
    2,236.36x = 4,770.14 × 4,770.14
  4. Step 4: Simplify right side
    2,236.36x = 22,754,241.58
  5. Step 5: Solve for x
    x = 22,754,241.58/2,236.36
  6. Step 6: Final answer
    x = 10,174.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.