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Finding the Third Proportional to 6,920.75 and 16,247.38

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Solution

The third proportional to 6,920.75 and 16,247.38 is: 38,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.75 : 16,247.38 = 16,247.38 : x
  2. Step 2: Convert to fraction form
    6,920.75/16,247.38 = 16,247.38/x
  3. Step 3: Cross multiply
    6,920.75x = 16,247.38 × 16,247.38
  4. Step 4: Simplify right side
    6,920.75x = 263,977,194.39
  5. Step 5: Solve for x
    x = 263,977,194.39/6,920.75
  6. Step 6: Final answer
    x = 38,142.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.