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Finding the Third Proportional to 8,816.34 and 19,016.65

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Solution

The third proportional to 8,816.34 and 19,016.65 is: 41,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.34 : 19,016.65 = 19,016.65 : x
  2. Step 2: Convert to fraction form
    8,816.34/19,016.65 = 19,016.65/x
  3. Step 3: Cross multiply
    8,816.34x = 19,016.65 × 19,016.65
  4. Step 4: Simplify right side
    8,816.34x = 361,632,917.80
  5. Step 5: Solve for x
    x = 361,632,917.80/8,816.34
  6. Step 6: Final answer
    x = 41,018.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.