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Finding the Third Proportional to 32,868 and 70,662

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Solution

The third proportional to 32,868 and 70,662 is: 151,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868 : 70,662 = 70,662 : x
  2. Step 2: Convert to fraction form
    32,868/70,662 = 70,662/x
  3. Step 3: Cross multiply
    32,868x = 70,662 × 70,662
  4. Step 4: Simplify right side
    32,868x = 4,993,118,244
  5. Step 5: Solve for x
    x = 4,993,118,244/32,868
  6. Step 6: Final answer
    x = 151,914.27

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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.