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Finding the Third Proportional to 532.83 and 1,243.27

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Solution

The third proportional to 532.83 and 1,243.27 is: 2,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 1,243.27 = 1,243.27 : x
  2. Step 2: Convert to fraction form
    532.83/1,243.27 = 1,243.27/x
  3. Step 3: Cross multiply
    532.83x = 1,243.27 × 1,243.27
  4. Step 4: Simplify right side
    532.83x = 1,545,709.41
  5. Step 5: Solve for x
    x = 1,545,709.41/532.83
  6. Step 6: Final answer
    x = 2,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.