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Finding the Third Proportional to 36,285.89 and 54,975.59

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Solution

The third proportional to 36,285.89 and 54,975.59 is: 83,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,285.89 : 54,975.59 = 54,975.59 : x
  2. Step 2: Convert to fraction form
    36,285.89/54,975.59 = 54,975.59/x
  3. Step 3: Cross multiply
    36,285.89x = 54,975.59 × 54,975.59
  4. Step 4: Simplify right side
    36,285.89x = 3,022,315,049.17
  5. Step 5: Solve for x
    x = 3,022,315,049.17/36,285.89
  6. Step 6: Final answer
    x = 83,291.74

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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.