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Finding the Third Proportional to 32,923 and 47,047

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Solution

The third proportional to 32,923 and 47,047 is: 67,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923 : 47,047 = 47,047 : x
  2. Step 2: Convert to fraction form
    32,923/47,047 = 47,047/x
  3. Step 3: Cross multiply
    32,923x = 47,047 × 47,047
  4. Step 4: Simplify right side
    32,923x = 2,213,420,209
  5. Step 5: Solve for x
    x = 2,213,420,209/32,923
  6. Step 6: Final answer
    x = 67,230.21

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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.