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Finding the Third Proportional to 33,569.44 and 70,368.75

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Solution

The third proportional to 33,569.44 and 70,368.75 is: 147,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,569.44 : 70,368.75 = 70,368.75 : x
  2. Step 2: Convert to fraction form
    33,569.44/70,368.75 = 70,368.75/x
  3. Step 3: Cross multiply
    33,569.44x = 70,368.75 × 70,368.75
  4. Step 4: Simplify right side
    33,569.44x = 4,951,760,976.56
  5. Step 5: Solve for x
    x = 4,951,760,976.56/33,569.44
  6. Step 6: Final answer
    x = 147,508.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.