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Finding the Third Proportional to 3,494.07 and 5,503.10

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Solution

The third proportional to 3,494.07 and 5,503.10 is: 8,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.07 : 5,503.10 = 5,503.10 : x
  2. Step 2: Convert to fraction form
    3,494.07/5,503.10 = 5,503.10/x
  3. Step 3: Cross multiply
    3,494.07x = 5,503.10 × 5,503.10
  4. Step 4: Simplify right side
    3,494.07x = 30,284,062.32
  5. Step 5: Solve for x
    x = 30,284,062.32/3,494.07
  6. Step 6: Final answer
    x = 8,667.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.