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Finding the Third Proportional to 34,777.69 and 52,327.69

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Solution

The third proportional to 34,777.69 and 52,327.69 is: 78,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777.69 : 52,327.69 = 52,327.69 : x
  2. Step 2: Convert to fraction form
    34,777.69/52,327.69 = 52,327.69/x
  3. Step 3: Cross multiply
    34,777.69x = 52,327.69 × 52,327.69
  4. Step 4: Simplify right side
    34,777.69x = 2,738,186,879.10
  5. Step 5: Solve for x
    x = 2,738,186,879.10/34,777.69
  6. Step 6: Final answer
    x = 78,734.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.