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Finding the Third Proportional to 34,051.50 and 73,282.50

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Solution

The third proportional to 34,051.50 and 73,282.50 is: 157,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.50 : 73,282.50 = 73,282.50 : x
  2. Step 2: Convert to fraction form
    34,051.50/73,282.50 = 73,282.50/x
  3. Step 3: Cross multiply
    34,051.50x = 73,282.50 × 73,282.50
  4. Step 4: Simplify right side
    34,051.50x = 5,370,324,806.25
  5. Step 5: Solve for x
    x = 5,370,324,806.25/34,051.50
  6. Step 6: Final answer
    x = 157,711.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.