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Finding the Third Proportional to 3,149.51 and 4,724.26

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Solution

The third proportional to 3,149.51 and 4,724.26 is: 7,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.51 : 4,724.26 = 4,724.26 : x
  2. Step 2: Convert to fraction form
    3,149.51/4,724.26 = 4,724.26/x
  3. Step 3: Cross multiply
    3,149.51x = 4,724.26 × 4,724.26
  4. Step 4: Simplify right side
    3,149.51x = 22,318,648.79
  5. Step 5: Solve for x
    x = 22,318,648.79/3,149.51
  6. Step 6: Final answer
    x = 7,086.39

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Why These Related Problems?

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