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Finding the Third Proportional to 4,125.94 and 9,990.84

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Solution

The third proportional to 4,125.94 and 9,990.84 is: 24,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.94 : 9,990.84 = 9,990.84 : x
  2. Step 2: Convert to fraction form
    4,125.94/9,990.84 = 9,990.84/x
  3. Step 3: Cross multiply
    4,125.94x = 9,990.84 × 9,990.84
  4. Step 4: Simplify right side
    4,125.94x = 99,816,958.84
  5. Step 5: Solve for x
    x = 99,816,958.84/4,125.94
  6. Step 6: Final answer
    x = 24,192.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.