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Finding the Third Proportional to 3,450.09 and 5,372.58

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Solution

The third proportional to 3,450.09 and 5,372.58 is: 8,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.09 : 5,372.58 = 5,372.58 : x
  2. Step 2: Convert to fraction form
    3,450.09/5,372.58 = 5,372.58/x
  3. Step 3: Cross multiply
    3,450.09x = 5,372.58 × 5,372.58
  4. Step 4: Simplify right side
    3,450.09x = 28,864,595.71
  5. Step 5: Solve for x
    x = 28,864,595.71/3,450.09
  6. Step 6: Final answer
    x = 8,366.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.