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Finding the Third Proportional to 4,426.88 and 9,066.38

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Solution

The third proportional to 4,426.88 and 9,066.38 is: 18,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.88 : 9,066.38 = 9,066.38 : x
  2. Step 2: Convert to fraction form
    4,426.88/9,066.38 = 9,066.38/x
  3. Step 3: Cross multiply
    4,426.88x = 9,066.38 × 9,066.38
  4. Step 4: Simplify right side
    4,426.88x = 82,199,155.64
  5. Step 5: Solve for x
    x = 82,199,155.64/4,426.88
  6. Step 6: Final answer
    x = 18,568.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.