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Finding the Third Proportional to 4,696.73 and 7,217.86

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Solution

The third proportional to 4,696.73 and 7,217.86 is: 11,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.73 : 7,217.86 = 7,217.86 : x
  2. Step 2: Convert to fraction form
    4,696.73/7,217.86 = 7,217.86/x
  3. Step 3: Cross multiply
    4,696.73x = 7,217.86 × 7,217.86
  4. Step 4: Simplify right side
    4,696.73x = 52,097,493.96
  5. Step 5: Solve for x
    x = 52,097,493.96/4,696.73
  6. Step 6: Final answer
    x = 11,092.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.