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Finding the Third Proportional to 4,974.86 and 7,033.71

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Solution

The third proportional to 4,974.86 and 7,033.71 is: 9,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.86 : 7,033.71 = 7,033.71 : x
  2. Step 2: Convert to fraction form
    4,974.86/7,033.71 = 7,033.71/x
  3. Step 3: Cross multiply
    4,974.86x = 7,033.71 × 7,033.71
  4. Step 4: Simplify right side
    4,974.86x = 49,473,089.55
  5. Step 5: Solve for x
    x = 49,473,089.55/4,974.86
  6. Step 6: Final answer
    x = 9,944.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.