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Finding the Third Proportional to 23,946 and 33,702

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Solution

The third proportional to 23,946 and 33,702 is: 47,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946 : 33,702 = 33,702 : x
  2. Step 2: Convert to fraction form
    23,946/33,702 = 33,702/x
  3. Step 3: Cross multiply
    23,946x = 33,702 × 33,702
  4. Step 4: Simplify right side
    23,946x = 1,135,824,804
  5. Step 5: Solve for x
    x = 1,135,824,804/23,946
  6. Step 6: Final answer
    x = 47,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.