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Finding the Third Proportional to 900.28 and 1,937.25

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Solution

The third proportional to 900.28 and 1,937.25 is: 4,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.28 : 1,937.25 = 1,937.25 : x
  2. Step 2: Convert to fraction form
    900.28/1,937.25 = 1,937.25/x
  3. Step 3: Cross multiply
    900.28x = 1,937.25 × 1,937.25
  4. Step 4: Simplify right side
    900.28x = 3,752,937.56
  5. Step 5: Solve for x
    x = 3,752,937.56/900.28
  6. Step 6: Final answer
    x = 4,168.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.