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Finding the Third Proportional to 8,993.53 and 19,771.59

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Solution

The third proportional to 8,993.53 and 19,771.59 is: 43,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.53 : 19,771.59 = 19,771.59 : x
  2. Step 2: Convert to fraction form
    8,993.53/19,771.59 = 19,771.59/x
  3. Step 3: Cross multiply
    8,993.53x = 19,771.59 × 19,771.59
  4. Step 4: Simplify right side
    8,993.53x = 390,915,919.42
  5. Step 5: Solve for x
    x = 390,915,919.42/8,993.53
  6. Step 6: Final answer
    x = 43,466.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.