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Finding the Third Proportional to 41,036 and 96,817

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Solution

The third proportional to 41,036 and 96,817 is: 228,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,036 : 96,817 = 96,817 : x
  2. Step 2: Convert to fraction form
    41,036/96,817 = 96,817/x
  3. Step 3: Cross multiply
    41,036x = 96,817 × 96,817
  4. Step 4: Simplify right side
    41,036x = 9,373,531,489
  5. Step 5: Solve for x
    x = 9,373,531,489/41,036
  6. Step 6: Final answer
    x = 228,422.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.