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Finding the Third Proportional to 2,137 and 5,113

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Solution

The third proportional to 2,137 and 5,113 is: 12,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 5,113 = 5,113 : x
  2. Step 2: Convert to fraction form
    2,137/5,113 = 5,113/x
  3. Step 3: Cross multiply
    2,137x = 5,113 × 5,113
  4. Step 4: Simplify right side
    2,137x = 26,142,769
  5. Step 5: Solve for x
    x = 26,142,769/2,137
  6. Step 6: Final answer
    x = 12,233.40

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.