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Finding the Third Proportional to 3,162.16 and 4,800.52

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Solution

The third proportional to 3,162.16 and 4,800.52 is: 7,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.16 : 4,800.52 = 4,800.52 : x
  2. Step 2: Convert to fraction form
    3,162.16/4,800.52 = 4,800.52/x
  3. Step 3: Cross multiply
    3,162.16x = 4,800.52 × 4,800.52
  4. Step 4: Simplify right side
    3,162.16x = 23,044,950.27
  5. Step 5: Solve for x
    x = 23,044,950.27/3,162.16
  6. Step 6: Final answer
    x = 7,287.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.