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Finding the Third Proportional to 1,990.38 and 4,337.38

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Solution

The third proportional to 1,990.38 and 4,337.38 is: 9,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.38 : 4,337.38 = 4,337.38 : x
  2. Step 2: Convert to fraction form
    1,990.38/4,337.38 = 4,337.38/x
  3. Step 3: Cross multiply
    1,990.38x = 4,337.38 × 4,337.38
  4. Step 4: Simplify right side
    1,990.38x = 18,812,821.89
  5. Step 5: Solve for x
    x = 18,812,821.89/1,990.38
  6. Step 6: Final answer
    x = 9,451.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.