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Finding the Third Proportional to 1,990.16 and 4,217.38

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Solution

The third proportional to 1,990.16 and 4,217.38 is: 8,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.16 : 4,217.38 = 4,217.38 : x
  2. Step 2: Convert to fraction form
    1,990.16/4,217.38 = 4,217.38/x
  3. Step 3: Cross multiply
    1,990.16x = 4,217.38 × 4,217.38
  4. Step 4: Simplify right side
    1,990.16x = 17,786,284.84
  5. Step 5: Solve for x
    x = 17,786,284.84/1,990.16
  6. Step 6: Final answer
    x = 8,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.