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Finding the Third Proportional to 32,006 and 70,366

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Solution

The third proportional to 32,006 and 70,366 is: 154,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006 : 70,366 = 70,366 : x
  2. Step 2: Convert to fraction form
    32,006/70,366 = 70,366/x
  3. Step 3: Cross multiply
    32,006x = 70,366 × 70,366
  4. Step 4: Simplify right side
    32,006x = 4,951,373,956
  5. Step 5: Solve for x
    x = 4,951,373,956/32,006
  6. Step 6: Final answer
    x = 154,701.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.