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Finding the Third Proportional to 7,836.75 and 9,200.25

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Solution

The third proportional to 7,836.75 and 9,200.25 is: 10,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 9,200.25 = 9,200.25 : x
  2. Step 2: Convert to fraction form
    7,836.75/9,200.25 = 9,200.25/x
  3. Step 3: Cross multiply
    7,836.75x = 9,200.25 × 9,200.25
  4. Step 4: Simplify right side
    7,836.75x = 84,644,600.06
  5. Step 5: Solve for x
    x = 84,644,600.06/7,836.75
  6. Step 6: Final answer
    x = 10,800.98

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.