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Finding the Third Proportional to 40,817 and 61,841

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Solution

The third proportional to 40,817 and 61,841 is: 93,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,817 : 61,841 = 61,841 : x
  2. Step 2: Convert to fraction form
    40,817/61,841 = 61,841/x
  3. Step 3: Cross multiply
    40,817x = 61,841 × 61,841
  4. Step 4: Simplify right side
    40,817x = 3,824,309,281
  5. Step 5: Solve for x
    x = 3,824,309,281/40,817
  6. Step 6: Final answer
    x = 93,694.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.