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Finding the Third Proportional to 6,993 and 10,822.50

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Solution

The third proportional to 6,993 and 10,822.50 is: 16,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 10,822.50 = 10,822.50 : x
  2. Step 2: Convert to fraction form
    6,993/10,822.50 = 10,822.50/x
  3. Step 3: Cross multiply
    6,993x = 10,822.50 × 10,822.50
  4. Step 4: Simplify right side
    6,993x = 117,126,506.25
  5. Step 5: Solve for x
    x = 117,126,506.25/6,993
  6. Step 6: Final answer
    x = 16,749.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.