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Finding the Third Proportional to 3,521.60 and 8,188.91

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Solution

The third proportional to 3,521.60 and 8,188.91 is: 19,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.60 : 8,188.91 = 8,188.91 : x
  2. Step 2: Convert to fraction form
    3,521.60/8,188.91 = 8,188.91/x
  3. Step 3: Cross multiply
    3,521.60x = 8,188.91 × 8,188.91
  4. Step 4: Simplify right side
    3,521.60x = 67,058,249.55
  5. Step 5: Solve for x
    x = 67,058,249.55/3,521.60
  6. Step 6: Final answer
    x = 19,041.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.