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Finding the Third Proportional to 1,103.06 and 1,498.22

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Solution

The third proportional to 1,103.06 and 1,498.22 is: 2,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.06 : 1,498.22 = 1,498.22 : x
  2. Step 2: Convert to fraction form
    1,103.06/1,498.22 = 1,498.22/x
  3. Step 3: Cross multiply
    1,103.06x = 1,498.22 × 1,498.22
  4. Step 4: Simplify right side
    1,103.06x = 2,244,659.42
  5. Step 5: Solve for x
    x = 2,244,659.42/1,103.06
  6. Step 6: Final answer
    x = 2,034.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.