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Finding the Third Proportional to 32,852 and 52,695

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Solution

The third proportional to 32,852 and 52,695 is: 84,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852 : 52,695 = 52,695 : x
  2. Step 2: Convert to fraction form
    32,852/52,695 = 52,695/x
  3. Step 3: Cross multiply
    32,852x = 52,695 × 52,695
  4. Step 4: Simplify right side
    32,852x = 2,776,763,025
  5. Step 5: Solve for x
    x = 2,776,763,025/32,852
  6. Step 6: Final answer
    x = 84,523.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.