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Finding the Third Proportional to 827.06 and 1,102.69

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Solution

The third proportional to 827.06 and 1,102.69 is: 1,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.06 : 1,102.69 = 1,102.69 : x
  2. Step 2: Convert to fraction form
    827.06/1,102.69 = 1,102.69/x
  3. Step 3: Cross multiply
    827.06x = 1,102.69 × 1,102.69
  4. Step 4: Simplify right side
    827.06x = 1,215,919.72
  5. Step 5: Solve for x
    x = 1,215,919.72/827.06
  6. Step 6: Final answer
    x = 1,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.