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Finding the Third Proportional to 1,306.25 and 1,959.38

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Solution

The third proportional to 1,306.25 and 1,959.38 is: 2,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.25 : 1,959.38 = 1,959.38 : x
  2. Step 2: Convert to fraction form
    1,306.25/1,959.38 = 1,959.38/x
  3. Step 3: Cross multiply
    1,306.25x = 1,959.38 × 1,959.38
  4. Step 4: Simplify right side
    1,306.25x = 3,839,150.39
  5. Step 5: Solve for x
    x = 3,839,150.39/1,306.25
  6. Step 6: Final answer
    x = 2,939.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.