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Finding the Third Proportional to 2,214 and 4,836.38

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Solution

The third proportional to 2,214 and 4,836.38 is: 10,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 4,836.38 = 4,836.38 : x
  2. Step 2: Convert to fraction form
    2,214/4,836.38 = 4,836.38/x
  3. Step 3: Cross multiply
    2,214x = 4,836.38 × 4,836.38
  4. Step 4: Simplify right side
    2,214x = 23,390,523.14
  5. Step 5: Solve for x
    x = 23,390,523.14/2,214
  6. Step 6: Final answer
    x = 10,564.83

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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.