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Finding the Third Proportional to 3,910.78 and 8,561.53

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Solution

The third proportional to 3,910.78 and 8,561.53 is: 18,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.78 : 8,561.53 = 8,561.53 : x
  2. Step 2: Convert to fraction form
    3,910.78/8,561.53 = 8,561.53/x
  3. Step 3: Cross multiply
    3,910.78x = 8,561.53 × 8,561.53
  4. Step 4: Simplify right side
    3,910.78x = 73,299,817.34
  5. Step 5: Solve for x
    x = 73,299,817.34/3,910.78
  6. Step 6: Final answer
    x = 18,743.01

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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.