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Finding the Third Proportional to 34,378.50 and 73,297.50

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Solution

The third proportional to 34,378.50 and 73,297.50 is: 156,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.50 : 73,297.50 = 73,297.50 : x
  2. Step 2: Convert to fraction form
    34,378.50/73,297.50 = 73,297.50/x
  3. Step 3: Cross multiply
    34,378.50x = 73,297.50 × 73,297.50
  4. Step 4: Simplify right side
    34,378.50x = 5,372,523,506.25
  5. Step 5: Solve for x
    x = 5,372,523,506.25/34,378.50
  6. Step 6: Final answer
    x = 156,275.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.