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Finding the Third Proportional to 6,924 and 7,632.75

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Solution

The third proportional to 6,924 and 7,632.75 is: 8,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 7,632.75 = 7,632.75 : x
  2. Step 2: Convert to fraction form
    6,924/7,632.75 = 7,632.75/x
  3. Step 3: Cross multiply
    6,924x = 7,632.75 × 7,632.75
  4. Step 4: Simplify right side
    6,924x = 58,258,872.56
  5. Step 5: Solve for x
    x = 58,258,872.56/6,924
  6. Step 6: Final answer
    x = 8,414.05

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.