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Finding the Third Proportional to 7,672.65 and 16,658.79

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Solution

The third proportional to 7,672.65 and 16,658.79 is: 36,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.65 : 16,658.79 = 16,658.79 : x
  2. Step 2: Convert to fraction form
    7,672.65/16,658.79 = 16,658.79/x
  3. Step 3: Cross multiply
    7,672.65x = 16,658.79 × 16,658.79
  4. Step 4: Simplify right side
    7,672.65x = 277,515,253.03
  5. Step 5: Solve for x
    x = 277,515,253.03/7,672.65
  6. Step 6: Final answer
    x = 36,169.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.