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Finding the Third Proportional to 4,324.88 and 6,669.92

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Solution

The third proportional to 4,324.88 and 6,669.92 is: 10,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.88 : 6,669.92 = 6,669.92 : x
  2. Step 2: Convert to fraction form
    4,324.88/6,669.92 = 6,669.92/x
  3. Step 3: Cross multiply
    4,324.88x = 6,669.92 × 6,669.92
  4. Step 4: Simplify right side
    4,324.88x = 44,487,870.85
  5. Step 5: Solve for x
    x = 44,487,870.85/4,324.88
  6. Step 6: Final answer
    x = 10,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.