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Finding the Third Proportional to 7,592.34 and 16,678.97

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Solution

The third proportional to 7,592.34 and 16,678.97 is: 36,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.34 : 16,678.97 = 16,678.97 : x
  2. Step 2: Convert to fraction form
    7,592.34/16,678.97 = 16,678.97/x
  3. Step 3: Cross multiply
    7,592.34x = 16,678.97 × 16,678.97
  4. Step 4: Simplify right side
    7,592.34x = 278,187,998.56
  5. Step 5: Solve for x
    x = 278,187,998.56/7,592.34
  6. Step 6: Final answer
    x = 36,640.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.