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Finding the Third Proportional to 3,214 and 5,113

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Solution

The third proportional to 3,214 and 5,113 is: 8,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 5,113 = 5,113 : x
  2. Step 2: Convert to fraction form
    3,214/5,113 = 5,113/x
  3. Step 3: Cross multiply
    3,214x = 5,113 × 5,113
  4. Step 4: Simplify right side
    3,214x = 26,142,769
  5. Step 5: Solve for x
    x = 26,142,769/3,214
  6. Step 6: Final answer
    x = 8,134.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.