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Finding the Third Proportional to 960.61 and 2,031.80

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Solution

The third proportional to 960.61 and 2,031.80 is: 4,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.61 : 2,031.80 = 2,031.80 : x
  2. Step 2: Convert to fraction form
    960.61/2,031.80 = 2,031.80/x
  3. Step 3: Cross multiply
    960.61x = 2,031.80 × 2,031.80
  4. Step 4: Simplify right side
    960.61x = 4,128,222.35
  5. Step 5: Solve for x
    x = 4,128,222.35/960.61
  6. Step 6: Final answer
    x = 4,297.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.