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Finding the Third Proportional to 2,743.03 and 4,244.06

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Solution

The third proportional to 2,743.03 and 4,244.06 is: 6,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.03 : 4,244.06 = 4,244.06 : x
  2. Step 2: Convert to fraction form
    2,743.03/4,244.06 = 4,244.06/x
  3. Step 3: Cross multiply
    2,743.03x = 4,244.06 × 4,244.06
  4. Step 4: Simplify right side
    2,743.03x = 18,012,066.50
  5. Step 5: Solve for x
    x = 18,012,066.50/2,743.03
  6. Step 6: Final answer
    x = 6,566.48

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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.