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Finding the Third Proportional to 4,111.17 and 8,942.91

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Solution

The third proportional to 4,111.17 and 8,942.91 is: 19,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.17 : 8,942.91 = 8,942.91 : x
  2. Step 2: Convert to fraction form
    4,111.17/8,942.91 = 8,942.91/x
  3. Step 3: Cross multiply
    4,111.17x = 8,942.91 × 8,942.91
  4. Step 4: Simplify right side
    4,111.17x = 79,975,572.20
  5. Step 5: Solve for x
    x = 79,975,572.20/4,111.17
  6. Step 6: Final answer
    x = 19,453.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.