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Finding the Third Proportional to 32,919 and 47,041

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Solution

The third proportional to 32,919 and 47,041 is: 67,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 47,041 = 47,041 : x
  2. Step 2: Convert to fraction form
    32,919/47,041 = 47,041/x
  3. Step 3: Cross multiply
    32,919x = 47,041 × 47,041
  4. Step 4: Simplify right side
    32,919x = 2,212,855,681
  5. Step 5: Solve for x
    x = 2,212,855,681/32,919
  6. Step 6: Final answer
    x = 67,221.23

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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.