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Finding the Third Proportional to 9,046.69 and 9,836.44

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Solution

The third proportional to 9,046.69 and 9,836.44 is: 10,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.69 : 9,836.44 = 9,836.44 : x
  2. Step 2: Convert to fraction form
    9,046.69/9,836.44 = 9,836.44/x
  3. Step 3: Cross multiply
    9,046.69x = 9,836.44 × 9,836.44
  4. Step 4: Simplify right side
    9,046.69x = 96,755,502.69
  5. Step 5: Solve for x
    x = 96,755,502.69/9,046.69
  6. Step 6: Final answer
    x = 10,695.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.