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Finding the Third Proportional to 1,260.38 and 1,959.56

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Solution

The third proportional to 1,260.38 and 1,959.56 is: 3,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.38 : 1,959.56 = 1,959.56 : x
  2. Step 2: Convert to fraction form
    1,260.38/1,959.56 = 1,959.56/x
  3. Step 3: Cross multiply
    1,260.38x = 1,959.56 × 1,959.56
  4. Step 4: Simplify right side
    1,260.38x = 3,839,885.19
  5. Step 5: Solve for x
    x = 3,839,885.19/1,260.38
  6. Step 6: Final answer
    x = 3,046.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.