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Finding the Third Proportional to 16,205.06 and 23,768.44

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Solution

The third proportional to 16,205.06 and 23,768.44 is: 34,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.06 : 23,768.44 = 23,768.44 : x
  2. Step 2: Convert to fraction form
    16,205.06/23,768.44 = 23,768.44/x
  3. Step 3: Cross multiply
    16,205.06x = 23,768.44 × 23,768.44
  4. Step 4: Simplify right side
    16,205.06x = 564,938,621.19
  5. Step 5: Solve for x
    x = 564,938,621.19/16,205.06
  6. Step 6: Final answer
    x = 34,861.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.