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Finding the Third Proportional to 34,366.50 and 72,803.25

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Solution

The third proportional to 34,366.50 and 72,803.25 is: 154,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366.50 : 72,803.25 = 72,803.25 : x
  2. Step 2: Convert to fraction form
    34,366.50/72,803.25 = 72,803.25/x
  3. Step 3: Cross multiply
    34,366.50x = 72,803.25 × 72,803.25
  4. Step 4: Simplify right side
    34,366.50x = 5,300,313,210.56
  5. Step 5: Solve for x
    x = 5,300,313,210.56/34,366.50
  6. Step 6: Final answer
    x = 154,229.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.