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Finding the Third Proportional to 7,725.38 and 8,727.75

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Solution

The third proportional to 7,725.38 and 8,727.75 is: 9,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.38 : 8,727.75 = 8,727.75 : x
  2. Step 2: Convert to fraction form
    7,725.38/8,727.75 = 8,727.75/x
  3. Step 3: Cross multiply
    7,725.38x = 8,727.75 × 8,727.75
  4. Step 4: Simplify right side
    7,725.38x = 76,173,620.06
  5. Step 5: Solve for x
    x = 76,173,620.06/7,725.38
  6. Step 6: Final answer
    x = 9,860.18

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.