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Finding the Third Proportional to 2,188.27 and 3,521.60

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Solution

The third proportional to 2,188.27 and 3,521.60 is: 5,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.27 : 3,521.60 = 3,521.60 : x
  2. Step 2: Convert to fraction form
    2,188.27/3,521.60 = 3,521.60/x
  3. Step 3: Cross multiply
    2,188.27x = 3,521.60 × 3,521.60
  4. Step 4: Simplify right side
    2,188.27x = 12,401,677.57
  5. Step 5: Solve for x
    x = 12,401,677.57/2,188.27
  6. Step 6: Final answer
    x = 5,667.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.