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Finding the Third Proportional to 33,527 and 73,282.50

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Solution

The third proportional to 33,527 and 73,282.50 is: 160,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527 : 73,282.50 = 73,282.50 : x
  2. Step 2: Convert to fraction form
    33,527/73,282.50 = 73,282.50/x
  3. Step 3: Cross multiply
    33,527x = 73,282.50 × 73,282.50
  4. Step 4: Simplify right side
    33,527x = 5,370,324,806.25
  5. Step 5: Solve for x
    x = 5,370,324,806.25/33,527
  6. Step 6: Final answer
    x = 160,179.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.