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Finding the Third Proportional to 3,031.33 and 4,073.57

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Solution

The third proportional to 3,031.33 and 4,073.57 is: 5,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.33 : 4,073.57 = 4,073.57 : x
  2. Step 2: Convert to fraction form
    3,031.33/4,073.57 = 4,073.57/x
  3. Step 3: Cross multiply
    3,031.33x = 4,073.57 × 4,073.57
  4. Step 4: Simplify right side
    3,031.33x = 16,593,991.00
  5. Step 5: Solve for x
    x = 16,593,991.00/3,031.33
  6. Step 6: Final answer
    x = 5,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.