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Finding the Third Proportional to 32,925 and 47,049

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Solution

The third proportional to 32,925 and 47,049 is: 67,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,925 : 47,049 = 47,049 : x
  2. Step 2: Convert to fraction form
    32,925/47,049 = 47,049/x
  3. Step 3: Cross multiply
    32,925x = 47,049 × 47,049
  4. Step 4: Simplify right side
    32,925x = 2,213,608,401
  5. Step 5: Solve for x
    x = 2,213,608,401/32,925
  6. Step 6: Final answer
    x = 67,231.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.