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Finding the Third Proportional to 4,031.72 and 6,108.19

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Solution

The third proportional to 4,031.72 and 6,108.19 is: 9,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.72 : 6,108.19 = 6,108.19 : x
  2. Step 2: Convert to fraction form
    4,031.72/6,108.19 = 6,108.19/x
  3. Step 3: Cross multiply
    4,031.72x = 6,108.19 × 6,108.19
  4. Step 4: Simplify right side
    4,031.72x = 37,309,954.54
  5. Step 5: Solve for x
    x = 37,309,954.54/4,031.72
  6. Step 6: Final answer
    x = 9,254.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.