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Finding the Third Proportional to 2,044.62 and 3,066.21

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Solution

The third proportional to 2,044.62 and 3,066.21 is: 4,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.62 : 3,066.21 = 3,066.21 : x
  2. Step 2: Convert to fraction form
    2,044.62/3,066.21 = 3,066.21/x
  3. Step 3: Cross multiply
    2,044.62x = 3,066.21 × 3,066.21
  4. Step 4: Simplify right side
    2,044.62x = 9,401,667.48
  5. Step 5: Solve for x
    x = 9,401,667.48/2,044.62
  6. Step 6: Final answer
    x = 4,598.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.