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Finding the Third Proportional to 10,616.06 and 16,861.92

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Solution

The third proportional to 10,616.06 and 16,861.92 is: 26,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.06 : 16,861.92 = 16,861.92 : x
  2. Step 2: Convert to fraction form
    10,616.06/16,861.92 = 16,861.92/x
  3. Step 3: Cross multiply
    10,616.06x = 16,861.92 × 16,861.92
  4. Step 4: Simplify right side
    10,616.06x = 284,324,409.32
  5. Step 5: Solve for x
    x = 284,324,409.32/10,616.06
  6. Step 6: Final answer
    x = 26,782.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.