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Finding the Third Proportional to 5,964.25 and 8,740.75

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Solution

The third proportional to 5,964.25 and 8,740.75 is: 12,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.25 : 8,740.75 = 8,740.75 : x
  2. Step 2: Convert to fraction form
    5,964.25/8,740.75 = 8,740.75/x
  3. Step 3: Cross multiply
    5,964.25x = 8,740.75 × 8,740.75
  4. Step 4: Simplify right side
    5,964.25x = 76,400,710.56
  5. Step 5: Solve for x
    x = 76,400,710.56/5,964.25
  6. Step 6: Final answer
    x = 12,809.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.