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Finding the Third Proportional to 4,066 and 9,457

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Solution

The third proportional to 4,066 and 9,457 is: 21,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 9,457 = 9,457 : x
  2. Step 2: Convert to fraction form
    4,066/9,457 = 9,457/x
  3. Step 3: Cross multiply
    4,066x = 9,457 × 9,457
  4. Step 4: Simplify right side
    4,066x = 89,434,849
  5. Step 5: Solve for x
    x = 89,434,849/4,066
  6. Step 6: Final answer
    x = 21,995.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.