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Finding the Third Proportional to 3,467.81 and 4,892.91

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Solution

The third proportional to 3,467.81 and 4,892.91 is: 6,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.81 : 4,892.91 = 4,892.91 : x
  2. Step 2: Convert to fraction form
    3,467.81/4,892.91 = 4,892.91/x
  3. Step 3: Cross multiply
    3,467.81x = 4,892.91 × 4,892.91
  4. Step 4: Simplify right side
    3,467.81x = 23,940,531.57
  5. Step 5: Solve for x
    x = 23,940,531.57/3,467.81
  6. Step 6: Final answer
    x = 6,903.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.