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Finding the Third Proportional to 445.14 and 951.03

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Solution

The third proportional to 445.14 and 951.03 is: 2,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.14 : 951.03 = 951.03 : x
  2. Step 2: Convert to fraction form
    445.14/951.03 = 951.03/x
  3. Step 3: Cross multiply
    445.14x = 951.03 × 951.03
  4. Step 4: Simplify right side
    445.14x = 904,460.44
  5. Step 5: Solve for x
    x = 904,460.44/445.14
  6. Step 6: Final answer
    x = 2,031.85

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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.