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Finding the Third Proportional to 36,131.50 and 55,606

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Solution

The third proportional to 36,131.50 and 55,606 is: 85,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,131.50 : 55,606 = 55,606 : x
  2. Step 2: Convert to fraction form
    36,131.50/55,606 = 55,606/x
  3. Step 3: Cross multiply
    36,131.50x = 55,606 × 55,606
  4. Step 4: Simplify right side
    36,131.50x = 3,092,027,236
  5. Step 5: Solve for x
    x = 3,092,027,236/36,131.50
  6. Step 6: Final answer
    x = 85,577.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.