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Finding the Third Proportional to 34,530.75 and 73,977.75

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Solution

The third proportional to 34,530.75 and 73,977.75 is: 158,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,530.75 : 73,977.75 = 73,977.75 : x
  2. Step 2: Convert to fraction form
    34,530.75/73,977.75 = 73,977.75/x
  3. Step 3: Cross multiply
    34,530.75x = 73,977.75 × 73,977.75
  4. Step 4: Simplify right side
    34,530.75x = 5,472,707,495.06
  5. Step 5: Solve for x
    x = 5,472,707,495.06/34,530.75
  6. Step 6: Final answer
    x = 158,487.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.