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Finding the Third Proportional to 1,304.25 and 1,956.94

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Solution

The third proportional to 1,304.25 and 1,956.94 is: 2,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.25 : 1,956.94 = 1,956.94 : x
  2. Step 2: Convert to fraction form
    1,304.25/1,956.94 = 1,956.94/x
  3. Step 3: Cross multiply
    1,304.25x = 1,956.94 × 1,956.94
  4. Step 4: Simplify right side
    1,304.25x = 3,829,604.38
  5. Step 5: Solve for x
    x = 3,829,604.38/1,304.25
  6. Step 6: Final answer
    x = 2,936.25

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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.