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Finding the Third Proportional to 900.84 and 1,959.47

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Solution

The third proportional to 900.84 and 1,959.47 is: 4,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.84 : 1,959.47 = 1,959.47 : x
  2. Step 2: Convert to fraction form
    900.84/1,959.47 = 1,959.47/x
  3. Step 3: Cross multiply
    900.84x = 1,959.47 × 1,959.47
  4. Step 4: Simplify right side
    900.84x = 3,839,517.78
  5. Step 5: Solve for x
    x = 3,839,517.78/900.84
  6. Step 6: Final answer
    x = 4,262.14

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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.