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Finding the Third Proportional to 32,967 and 70,767

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Solution

The third proportional to 32,967 and 70,767 is: 151,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 70,767 = 70,767 : x
  2. Step 2: Convert to fraction form
    32,967/70,767 = 70,767/x
  3. Step 3: Cross multiply
    32,967x = 70,767 × 70,767
  4. Step 4: Simplify right side
    32,967x = 5,007,968,289
  5. Step 5: Solve for x
    x = 5,007,968,289/32,967
  6. Step 6: Final answer
    x = 151,908.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.