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Finding the Third Proportional to 5,102 and 10,990

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Solution

The third proportional to 5,102 and 10,990 is: 23,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 10,990 = 10,990 : x
  2. Step 2: Convert to fraction form
    5,102/10,990 = 10,990/x
  3. Step 3: Cross multiply
    5,102x = 10,990 × 10,990
  4. Step 4: Simplify right side
    5,102x = 120,780,100
  5. Step 5: Solve for x
    x = 120,780,100/5,102
  6. Step 6: Final answer
    x = 23,673.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.