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Finding the Third Proportional to 7,252.73 and 9,785.60

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Solution

The third proportional to 7,252.73 and 9,785.60 is: 13,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.73 : 9,785.60 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    7,252.73/9,785.60 = 9,785.60/x
  3. Step 3: Cross multiply
    7,252.73x = 9,785.60 × 9,785.60
  4. Step 4: Simplify right side
    7,252.73x = 95,757,997.94
  5. Step 5: Solve for x
    x = 95,757,997.94/7,252.73
  6. Step 6: Final answer
    x = 13,203.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.