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Finding the Third Proportional to 1,814.91 and 3,922.17

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Solution

The third proportional to 1,814.91 and 3,922.17 is: 8,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.91 : 3,922.17 = 3,922.17 : x
  2. Step 2: Convert to fraction form
    1,814.91/3,922.17 = 3,922.17/x
  3. Step 3: Cross multiply
    1,814.91x = 3,922.17 × 3,922.17
  4. Step 4: Simplify right side
    1,814.91x = 15,383,432.22
  5. Step 5: Solve for x
    x = 15,383,432.22/1,814.91
  6. Step 6: Final answer
    x = 8,476.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.