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Finding the Third Proportional to 3,023.79 and 4,581.14

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Solution

The third proportional to 3,023.79 and 4,581.14 is: 6,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.79 : 4,581.14 = 4,581.14 : x
  2. Step 2: Convert to fraction form
    3,023.79/4,581.14 = 4,581.14/x
  3. Step 3: Cross multiply
    3,023.79x = 4,581.14 × 4,581.14
  4. Step 4: Simplify right side
    3,023.79x = 20,986,849.43
  5. Step 5: Solve for x
    x = 20,986,849.43/3,023.79
  6. Step 6: Final answer
    x = 6,940.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.