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Finding the Third Proportional to 4,051.27 and 5,942.11

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Solution

The third proportional to 4,051.27 and 5,942.11 is: 8,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.27 : 5,942.11 = 5,942.11 : x
  2. Step 2: Convert to fraction form
    4,051.27/5,942.11 = 5,942.11/x
  3. Step 3: Cross multiply
    4,051.27x = 5,942.11 × 5,942.11
  4. Step 4: Simplify right side
    4,051.27x = 35,308,663.82
  5. Step 5: Solve for x
    x = 35,308,663.82/4,051.27
  6. Step 6: Final answer
    x = 8,715.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.