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Finding the Third Proportional to 3,081.16 and 4,942.11

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Solution

The third proportional to 3,081.16 and 4,942.11 is: 7,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.16 : 4,942.11 = 4,942.11 : x
  2. Step 2: Convert to fraction form
    3,081.16/4,942.11 = 4,942.11/x
  3. Step 3: Cross multiply
    3,081.16x = 4,942.11 × 4,942.11
  4. Step 4: Simplify right side
    3,081.16x = 24,424,425.77
  5. Step 5: Solve for x
    x = 24,424,425.77/3,081.16
  6. Step 6: Final answer
    x = 7,927.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.