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Finding the Third Proportional to 3,473.58 and 7,493.91

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Solution

The third proportional to 3,473.58 and 7,493.91 is: 16,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.58 : 7,493.91 = 7,493.91 : x
  2. Step 2: Convert to fraction form
    3,473.58/7,493.91 = 7,493.91/x
  3. Step 3: Cross multiply
    3,473.58x = 7,493.91 × 7,493.91
  4. Step 4: Simplify right side
    3,473.58x = 56,158,630.88
  5. Step 5: Solve for x
    x = 56,158,630.88/3,473.58
  6. Step 6: Final answer
    x = 16,167.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.