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Finding the Third Proportional to 836.86 and 1,252.83

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Solution

The third proportional to 836.86 and 1,252.83 is: 1,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.86 : 1,252.83 = 1,252.83 : x
  2. Step 2: Convert to fraction form
    836.86/1,252.83 = 1,252.83/x
  3. Step 3: Cross multiply
    836.86x = 1,252.83 × 1,252.83
  4. Step 4: Simplify right side
    836.86x = 1,569,578.31
  5. Step 5: Solve for x
    x = 1,569,578.31/836.86
  6. Step 6: Final answer
    x = 1,875.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.