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Finding the Third Proportional to 32,856 and 70,872

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Solution

The third proportional to 32,856 and 70,872 is: 152,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856 : 70,872 = 70,872 : x
  2. Step 2: Convert to fraction form
    32,856/70,872 = 70,872/x
  3. Step 3: Cross multiply
    32,856x = 70,872 × 70,872
  4. Step 4: Simplify right side
    32,856x = 5,022,840,384
  5. Step 5: Solve for x
    x = 5,022,840,384/32,856
  6. Step 6: Final answer
    x = 152,874.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.