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Finding the Third Proportional to 6,630.50 and 11,005

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Solution

The third proportional to 6,630.50 and 11,005 is: 18,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.50 : 11,005 = 11,005 : x
  2. Step 2: Convert to fraction form
    6,630.50/11,005 = 11,005/x
  3. Step 3: Cross multiply
    6,630.50x = 11,005 × 11,005
  4. Step 4: Simplify right side
    6,630.50x = 121,110,025
  5. Step 5: Solve for x
    x = 121,110,025/6,630.50
  6. Step 6: Final answer
    x = 18,265.59

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.