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Finding the Third Proportional to 6,993 and 10,138.50

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Solution

The third proportional to 6,993 and 10,138.50 is: 14,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 10,138.50 = 10,138.50 : x
  2. Step 2: Convert to fraction form
    6,993/10,138.50 = 10,138.50/x
  3. Step 3: Cross multiply
    6,993x = 10,138.50 × 10,138.50
  4. Step 4: Simplify right side
    6,993x = 102,789,182.25
  5. Step 5: Solve for x
    x = 102,789,182.25/6,993
  6. Step 6: Final answer
    x = 14,698.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.