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Finding the Third Proportional to 7,651.97 and 16,658.16

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Solution

The third proportional to 7,651.97 and 16,658.16 is: 36,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.97 : 16,658.16 = 16,658.16 : x
  2. Step 2: Convert to fraction form
    7,651.97/16,658.16 = 16,658.16/x
  3. Step 3: Cross multiply
    7,651.97x = 16,658.16 × 16,658.16
  4. Step 4: Simplify right side
    7,651.97x = 277,494,169.65
  5. Step 5: Solve for x
    x = 277,494,169.65/7,651.97
  6. Step 6: Final answer
    x = 36,264.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.