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Finding the Third Proportional to 32,477 and 69,652

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Solution

The third proportional to 32,477 and 69,652 is: 149,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477 : 69,652 = 69,652 : x
  2. Step 2: Convert to fraction form
    32,477/69,652 = 69,652/x
  3. Step 3: Cross multiply
    32,477x = 69,652 × 69,652
  4. Step 4: Simplify right side
    32,477x = 4,851,401,104
  5. Step 5: Solve for x
    x = 4,851,401,104/32,477
  6. Step 6: Final answer
    x = 149,379.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.