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Finding the Third Proportional to 7,708.92 and 16,861.92

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Solution

The third proportional to 7,708.92 and 16,861.92 is: 36,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.92 : 16,861.92 = 16,861.92 : x
  2. Step 2: Convert to fraction form
    7,708.92/16,861.92 = 16,861.92/x
  3. Step 3: Cross multiply
    7,708.92x = 16,861.92 × 16,861.92
  4. Step 4: Simplify right side
    7,708.92x = 284,324,409.32
  5. Step 5: Solve for x
    x = 284,324,409.32/7,708.92
  6. Step 6: Final answer
    x = 36,882.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.