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Finding the Third Proportional to 18,832 and 40,946

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Solution

The third proportional to 18,832 and 40,946 is: 89,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832 : 40,946 = 40,946 : x
  2. Step 2: Convert to fraction form
    18,832/40,946 = 40,946/x
  3. Step 3: Cross multiply
    18,832x = 40,946 × 40,946
  4. Step 4: Simplify right side
    18,832x = 1,676,574,916
  5. Step 5: Solve for x
    x = 1,676,574,916/18,832
  6. Step 6: Final answer
    x = 89,027.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.