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Finding the Third Proportional to 18,657 and 37,962

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Solution

The third proportional to 18,657 and 37,962 is: 77,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 37,962 = 37,962 : x
  2. Step 2: Convert to fraction form
    18,657/37,962 = 37,962/x
  3. Step 3: Cross multiply
    18,657x = 37,962 × 37,962
  4. Step 4: Simplify right side
    18,657x = 1,441,113,444
  5. Step 5: Solve for x
    x = 1,441,113,444/18,657
  6. Step 6: Final answer
    x = 77,242.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.