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Finding the Third Proportional to 1,498.82 and 2,248.07

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Solution

The third proportional to 1,498.82 and 2,248.07 is: 3,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.82 : 2,248.07 = 2,248.07 : x
  2. Step 2: Convert to fraction form
    1,498.82/2,248.07 = 2,248.07/x
  3. Step 3: Cross multiply
    1,498.82x = 2,248.07 × 2,248.07
  4. Step 4: Simplify right side
    1,498.82x = 5,053,802.57
  5. Step 5: Solve for x
    x = 5,053,802.57/1,498.82
  6. Step 6: Final answer
    x = 3,371.86

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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.