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Finding the Third Proportional to 8,230.36 and 17,776.97

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Solution

The third proportional to 8,230.36 and 17,776.97 is: 38,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.36 : 17,776.97 = 17,776.97 : x
  2. Step 2: Convert to fraction form
    8,230.36/17,776.97 = 17,776.97/x
  3. Step 3: Cross multiply
    8,230.36x = 17,776.97 × 17,776.97
  4. Step 4: Simplify right side
    8,230.36x = 316,020,617.94
  5. Step 5: Solve for x
    x = 316,020,617.94/8,230.36
  6. Step 6: Final answer
    x = 38,396.94

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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.