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Finding the Third Proportional to 2,344.15 and 3,509.58

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Solution

The third proportional to 2,344.15 and 3,509.58 is: 5,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.15 : 3,509.58 = 3,509.58 : x
  2. Step 2: Convert to fraction form
    2,344.15/3,509.58 = 3,509.58/x
  3. Step 3: Cross multiply
    2,344.15x = 3,509.58 × 3,509.58
  4. Step 4: Simplify right side
    2,344.15x = 12,317,138.62
  5. Step 5: Solve for x
    x = 12,317,138.62/2,344.15
  6. Step 6: Final answer
    x = 5,254.42

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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.