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Finding the Third Proportional to 8,982.91 and 18,896.91

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Solution

The third proportional to 8,982.91 and 18,896.91 is: 39,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.91 : 18,896.91 = 18,896.91 : x
  2. Step 2: Convert to fraction form
    8,982.91/18,896.91 = 18,896.91/x
  3. Step 3: Cross multiply
    8,982.91x = 18,896.91 × 18,896.91
  4. Step 4: Simplify right side
    8,982.91x = 357,093,065.82
  5. Step 5: Solve for x
    x = 357,093,065.82/8,982.91
  6. Step 6: Final answer
    x = 39,752.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.