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Finding the Third Proportional to 1,968.19 and 4,204.69

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Solution

The third proportional to 1,968.19 and 4,204.69 is: 8,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.19 : 4,204.69 = 4,204.69 : x
  2. Step 2: Convert to fraction form
    1,968.19/4,204.69 = 4,204.69/x
  3. Step 3: Cross multiply
    1,968.19x = 4,204.69 × 4,204.69
  4. Step 4: Simplify right side
    1,968.19x = 17,679,396.97
  5. Step 5: Solve for x
    x = 17,679,396.97/1,968.19
  6. Step 6: Final answer
    x = 8,982.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.