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Finding the Third Proportional to 900.49 and 1,964.25

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Solution

The third proportional to 900.49 and 1,964.25 is: 4,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.49 : 1,964.25 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    900.49/1,964.25 = 1,964.25/x
  3. Step 3: Cross multiply
    900.49x = 1,964.25 × 1,964.25
  4. Step 4: Simplify right side
    900.49x = 3,858,278.06
  5. Step 5: Solve for x
    x = 3,858,278.06/900.49
  6. Step 6: Final answer
    x = 4,284.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.