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Finding the Third Proportional to 1,252.97 and 1,948.01

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Solution

The third proportional to 1,252.97 and 1,948.01 is: 3,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,948.01 = 1,948.01 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,948.01 = 1,948.01/x
  3. Step 3: Cross multiply
    1,252.97x = 1,948.01 × 1,948.01
  4. Step 4: Simplify right side
    1,252.97x = 3,794,734.44
  5. Step 5: Solve for x
    x = 3,794,734.44/1,252.97
  6. Step 6: Final answer
    x = 3,028.59

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