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Finding the Third Proportional to 2,060.16 and 4,861.41

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Solution

The third proportional to 2,060.16 and 4,861.41 is: 11,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.16 : 4,861.41 = 4,861.41 : x
  2. Step 2: Convert to fraction form
    2,060.16/4,861.41 = 4,861.41/x
  3. Step 3: Cross multiply
    2,060.16x = 4,861.41 × 4,861.41
  4. Step 4: Simplify right side
    2,060.16x = 23,633,270.73
  5. Step 5: Solve for x
    x = 23,633,270.73/2,060.16
  6. Step 6: Final answer
    x = 11,471.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.