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Finding the Third Proportional to 36,566.50 and 54,610.50

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Solution

The third proportional to 36,566.50 and 54,610.50 is: 81,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566.50 : 54,610.50 = 54,610.50 : x
  2. Step 2: Convert to fraction form
    36,566.50/54,610.50 = 54,610.50/x
  3. Step 3: Cross multiply
    36,566.50x = 54,610.50 × 54,610.50
  4. Step 4: Simplify right side
    36,566.50x = 2,982,306,710.25
  5. Step 5: Solve for x
    x = 2,982,306,710.25/36,566.50
  6. Step 6: Final answer
    x = 81,558.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.