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Finding the Third Proportional to 5,059.97 and 7,222.92

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Solution

The third proportional to 5,059.97 and 7,222.92 is: 10,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.97 : 7,222.92 = 7,222.92 : x
  2. Step 2: Convert to fraction form
    5,059.97/7,222.92 = 7,222.92/x
  3. Step 3: Cross multiply
    5,059.97x = 7,222.92 × 7,222.92
  4. Step 4: Simplify right side
    5,059.97x = 52,170,600.41
  5. Step 5: Solve for x
    x = 52,170,600.41/5,059.97
  6. Step 6: Final answer
    x = 10,310.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.