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Finding the Third Proportional to 9,299.25 and 9,663.75

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Solution

The third proportional to 9,299.25 and 9,663.75 is: 10,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.25 : 9,663.75 = 9,663.75 : x
  2. Step 2: Convert to fraction form
    9,299.25/9,663.75 = 9,663.75/x
  3. Step 3: Cross multiply
    9,299.25x = 9,663.75 × 9,663.75
  4. Step 4: Simplify right side
    9,299.25x = 93,388,064.06
  5. Step 5: Solve for x
    x = 93,388,064.06/9,299.25
  6. Step 6: Final answer
    x = 10,042.54

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.