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Finding the Third Proportional to 46,777.50 and 73,296.56

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Solution

The third proportional to 46,777.50 and 73,296.56 is: 114,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777.50 : 73,296.56 = 73,296.56 : x
  2. Step 2: Convert to fraction form
    46,777.50/73,296.56 = 73,296.56/x
  3. Step 3: Cross multiply
    46,777.50x = 73,296.56 × 73,296.56
  4. Step 4: Simplify right side
    46,777.50x = 5,372,386,074.32
  5. Step 5: Solve for x
    x = 5,372,386,074.32/46,777.50
  6. Step 6: Final answer
    x = 114,849.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.