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Finding the Third Proportional to 18,657 and 41,002

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Solution

The third proportional to 18,657 and 41,002 is: 90,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 41,002 = 41,002 : x
  2. Step 2: Convert to fraction form
    18,657/41,002 = 41,002/x
  3. Step 3: Cross multiply
    18,657x = 41,002 × 41,002
  4. Step 4: Simplify right side
    18,657x = 1,681,164,004
  5. Step 5: Solve for x
    x = 1,681,164,004/18,657
  6. Step 6: Final answer
    x = 90,109.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.