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Finding the Third Proportional to 36,433.13 and 55,405.69

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Solution

The third proportional to 36,433.13 and 55,405.69 is: 84,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,433.13 : 55,405.69 = 55,405.69 : x
  2. Step 2: Convert to fraction form
    36,433.13/55,405.69 = 55,405.69/x
  3. Step 3: Cross multiply
    36,433.13x = 55,405.69 × 55,405.69
  4. Step 4: Simplify right side
    36,433.13x = 3,069,790,207.35
  5. Step 5: Solve for x
    x = 3,069,790,207.35/36,433.13
  6. Step 6: Final answer
    x = 84,258.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.