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Finding the Third Proportional to 18,712 and 41,002

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Solution

The third proportional to 18,712 and 41,002 is: 89,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 41,002 = 41,002 : x
  2. Step 2: Convert to fraction form
    18,712/41,002 = 41,002/x
  3. Step 3: Cross multiply
    18,712x = 41,002 × 41,002
  4. Step 4: Simplify right side
    18,712x = 1,681,164,004
  5. Step 5: Solve for x
    x = 1,681,164,004/18,712
  6. Step 6: Final answer
    x = 89,844.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.