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Finding the Third Proportional to 2,031.80 and 4,344.10

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Solution

The third proportional to 2,031.80 and 4,344.10 is: 9,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.80 : 4,344.10 = 4,344.10 : x
  2. Step 2: Convert to fraction form
    2,031.80/4,344.10 = 4,344.10/x
  3. Step 3: Cross multiply
    2,031.80x = 4,344.10 × 4,344.10
  4. Step 4: Simplify right side
    2,031.80x = 18,871,201.42
  5. Step 5: Solve for x
    x = 18,871,201.42/2,031.80
  6. Step 6: Final answer
    x = 9,287.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.