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Finding the Third Proportional to 8,645.06 and 18,914.34

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Solution

The third proportional to 8,645.06 and 18,914.34 is: 41,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.06 : 18,914.34 = 18,914.34 : x
  2. Step 2: Convert to fraction form
    8,645.06/18,914.34 = 18,914.34/x
  3. Step 3: Cross multiply
    8,645.06x = 18,914.34 × 18,914.34
  4. Step 4: Simplify right side
    8,645.06x = 357,752,399.49
  5. Step 5: Solve for x
    x = 357,752,399.49/8,645.06
  6. Step 6: Final answer
    x = 41,382.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.