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Finding the Third Proportional to 8,224.03 and 19,705.78

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Solution

The third proportional to 8,224.03 and 19,705.78 is: 47,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.03 : 19,705.78 = 19,705.78 : x
  2. Step 2: Convert to fraction form
    8,224.03/19,705.78 = 19,705.78/x
  3. Step 3: Cross multiply
    8,224.03x = 19,705.78 × 19,705.78
  4. Step 4: Simplify right side
    8,224.03x = 388,317,814.67
  5. Step 5: Solve for x
    x = 388,317,814.67/8,224.03
  6. Step 6: Final answer
    x = 47,217.45

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.