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Finding the Third Proportional to 3,046.99 and 5,410.55

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Solution

The third proportional to 3,046.99 and 5,410.55 is: 9,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.99 : 5,410.55 = 5,410.55 : x
  2. Step 2: Convert to fraction form
    3,046.99/5,410.55 = 5,410.55/x
  3. Step 3: Cross multiply
    3,046.99x = 5,410.55 × 5,410.55
  4. Step 4: Simplify right side
    3,046.99x = 29,274,017.49
  5. Step 5: Solve for x
    x = 29,274,017.49/3,046.99
  6. Step 6: Final answer
    x = 9,607.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.