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Finding the Third Proportional to 33,405 and 77,680.50

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Solution

The third proportional to 33,405 and 77,680.50 is: 180,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405 : 77,680.50 = 77,680.50 : x
  2. Step 2: Convert to fraction form
    33,405/77,680.50 = 77,680.50/x
  3. Step 3: Cross multiply
    33,405x = 77,680.50 × 77,680.50
  4. Step 4: Simplify right side
    33,405x = 6,034,260,080.25
  5. Step 5: Solve for x
    x = 6,034,260,080.25/33,405
  6. Step 6: Final answer
    x = 180,639.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.