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Finding the Third Proportional to 3,496.21 and 8,119.02

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Solution

The third proportional to 3,496.21 and 8,119.02 is: 18,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.21 : 8,119.02 = 8,119.02 : x
  2. Step 2: Convert to fraction form
    3,496.21/8,119.02 = 8,119.02/x
  3. Step 3: Cross multiply
    3,496.21x = 8,119.02 × 8,119.02
  4. Step 4: Simplify right side
    3,496.21x = 65,918,549.51
  5. Step 5: Solve for x
    x = 65,918,549.51/3,496.21
  6. Step 6: Final answer
    x = 18,854.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.