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Finding the Third Proportional to 3,836.74 and 9,068.84

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Solution

The third proportional to 3,836.74 and 9,068.84 is: 21,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.74 : 9,068.84 = 9,068.84 : x
  2. Step 2: Convert to fraction form
    3,836.74/9,068.84 = 9,068.84/x
  3. Step 3: Cross multiply
    3,836.74x = 9,068.84 × 9,068.84
  4. Step 4: Simplify right side
    3,836.74x = 82,243,785.26
  5. Step 5: Solve for x
    x = 82,243,785.26/3,836.74
  6. Step 6: Final answer
    x = 21,435.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.