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Finding the Third Proportional to 3,031.80 and 4,529.04

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Solution

The third proportional to 3,031.80 and 4,529.04 is: 6,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.80 : 4,529.04 = 4,529.04 : x
  2. Step 2: Convert to fraction form
    3,031.80/4,529.04 = 4,529.04/x
  3. Step 3: Cross multiply
    3,031.80x = 4,529.04 × 4,529.04
  4. Step 4: Simplify right side
    3,031.80x = 20,512,194.83
  5. Step 5: Solve for x
    x = 20,512,194.83/3,031.80
  6. Step 6: Final answer
    x = 6,765.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.