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Finding the Third Proportional to 4,119 and 6,214

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Solution

The third proportional to 4,119 and 6,214 is: 9,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119 : 6,214 = 6,214 : x
  2. Step 2: Convert to fraction form
    4,119/6,214 = 6,214/x
  3. Step 3: Cross multiply
    4,119x = 6,214 × 6,214
  4. Step 4: Simplify right side
    4,119x = 38,613,796
  5. Step 5: Solve for x
    x = 38,613,796/4,119
  6. Step 6: Final answer
    x = 9,374.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.