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Finding the Third Proportional to 2,066.34 and 4,273.17

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Solution

The third proportional to 2,066.34 and 4,273.17 is: 8,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.34 : 4,273.17 = 4,273.17 : x
  2. Step 2: Convert to fraction form
    2,066.34/4,273.17 = 4,273.17/x
  3. Step 3: Cross multiply
    2,066.34x = 4,273.17 × 4,273.17
  4. Step 4: Simplify right side
    2,066.34x = 18,259,997.87
  5. Step 5: Solve for x
    x = 18,259,997.87/2,066.34
  6. Step 6: Final answer
    x = 8,836.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.