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Finding the Third Proportional to 18,901 and 40,610

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Solution

The third proportional to 18,901 and 40,610 is: 87,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,901 : 40,610 = 40,610 : x
  2. Step 2: Convert to fraction form
    18,901/40,610 = 40,610/x
  3. Step 3: Cross multiply
    18,901x = 40,610 × 40,610
  4. Step 4: Simplify right side
    18,901x = 1,649,172,100
  5. Step 5: Solve for x
    x = 1,649,172,100/18,901
  6. Step 6: Final answer
    x = 87,253.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.