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Finding the Third Proportional to 6,993 and 13,297.50

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Solution

The third proportional to 6,993 and 13,297.50 is: 25,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 13,297.50 = 13,297.50 : x
  2. Step 2: Convert to fraction form
    6,993/13,297.50 = 13,297.50/x
  3. Step 3: Cross multiply
    6,993x = 13,297.50 × 13,297.50
  4. Step 4: Simplify right side
    6,993x = 176,823,506.25
  5. Step 5: Solve for x
    x = 176,823,506.25/6,993
  6. Step 6: Final answer
    x = 25,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.