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Finding the Third Proportional to 32,852 and 68,037

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Solution

The third proportional to 32,852 and 68,037 is: 140,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852 : 68,037 = 68,037 : x
  2. Step 2: Convert to fraction form
    32,852/68,037 = 68,037/x
  3. Step 3: Cross multiply
    32,852x = 68,037 × 68,037
  4. Step 4: Simplify right side
    32,852x = 4,629,033,369
  5. Step 5: Solve for x
    x = 4,629,033,369/32,852
  6. Step 6: Final answer
    x = 140,905.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.