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Finding the Third Proportional to 33,528.30 and 73,284.43

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Solution

The third proportional to 33,528.30 and 73,284.43 is: 160,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528.30 : 73,284.43 = 73,284.43 : x
  2. Step 2: Convert to fraction form
    33,528.30/73,284.43 = 73,284.43/x
  3. Step 3: Cross multiply
    33,528.30x = 73,284.43 × 73,284.43
  4. Step 4: Simplify right side
    33,528.30x = 5,370,608,207.16
  5. Step 5: Solve for x
    x = 5,370,608,207.16/33,528.30
  6. Step 6: Final answer
    x = 160,181.32

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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.