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Finding the Third Proportional to 4,031.02 and 6,107.34

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Solution

The third proportional to 4,031.02 and 6,107.34 is: 9,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.02 : 6,107.34 = 6,107.34 : x
  2. Step 2: Convert to fraction form
    4,031.02/6,107.34 = 6,107.34/x
  3. Step 3: Cross multiply
    4,031.02x = 6,107.34 × 6,107.34
  4. Step 4: Simplify right side
    4,031.02x = 37,299,647.68
  5. Step 5: Solve for x
    x = 37,299,647.68/4,031.02
  6. Step 6: Final answer
    x = 9,253.16

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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.