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Finding the Third Proportional to 4,663.50 and 11,001

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Solution

The third proportional to 4,663.50 and 11,001 is: 25,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.50 : 11,001 = 11,001 : x
  2. Step 2: Convert to fraction form
    4,663.50/11,001 = 11,001/x
  3. Step 3: Cross multiply
    4,663.50x = 11,001 × 11,001
  4. Step 4: Simplify right side
    4,663.50x = 121,022,001
  5. Step 5: Solve for x
    x = 121,022,001/4,663.50
  6. Step 6: Final answer
    x = 25,950.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.