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Finding the Third Proportional to 9,006.19 and 19,219.78

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Solution

The third proportional to 9,006.19 and 19,219.78 is: 41,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.19 : 19,219.78 = 19,219.78 : x
  2. Step 2: Convert to fraction form
    9,006.19/19,219.78 = 19,219.78/x
  3. Step 3: Cross multiply
    9,006.19x = 19,219.78 × 19,219.78
  4. Step 4: Simplify right side
    9,006.19x = 369,399,991.30
  5. Step 5: Solve for x
    x = 369,399,991.30/9,006.19
  6. Step 6: Final answer
    x = 41,016.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.