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Finding the Third Proportional to 1,892.11 and 4,043.04

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Solution

The third proportional to 1,892.11 and 4,043.04 is: 8,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.11 : 4,043.04 = 4,043.04 : x
  2. Step 2: Convert to fraction form
    1,892.11/4,043.04 = 4,043.04/x
  3. Step 3: Cross multiply
    1,892.11x = 4,043.04 × 4,043.04
  4. Step 4: Simplify right side
    1,892.11x = 16,346,164.86
  5. Step 5: Solve for x
    x = 16,346,164.86/1,892.11
  6. Step 6: Final answer
    x = 8,639.12

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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.