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Finding the Third Proportional to 4,005.75 and 9,273.19

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Solution

The third proportional to 4,005.75 and 9,273.19 is: 21,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.75 : 9,273.19 = 9,273.19 : x
  2. Step 2: Convert to fraction form
    4,005.75/9,273.19 = 9,273.19/x
  3. Step 3: Cross multiply
    4,005.75x = 9,273.19 × 9,273.19
  4. Step 4: Simplify right side
    4,005.75x = 85,992,006.41
  5. Step 5: Solve for x
    x = 85,992,006.41/4,005.75
  6. Step 6: Final answer
    x = 21,467.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.