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Finding the Third Proportional to 3,234.94 and 3,500.72

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Solution

The third proportional to 3,234.94 and 3,500.72 is: 3,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 3,500.72 = 3,500.72 : x
  2. Step 2: Convert to fraction form
    3,234.94/3,500.72 = 3,500.72/x
  3. Step 3: Cross multiply
    3,234.94x = 3,500.72 × 3,500.72
  4. Step 4: Simplify right side
    3,234.94x = 12,255,031.77
  5. Step 5: Solve for x
    x = 12,255,031.77/3,234.94
  6. Step 6: Final answer
    x = 3,788.34

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.