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Finding the Third Proportional to 40,617 and 61,443

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Solution

The third proportional to 40,617 and 61,443 is: 92,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,617 : 61,443 = 61,443 : x
  2. Step 2: Convert to fraction form
    40,617/61,443 = 61,443/x
  3. Step 3: Cross multiply
    40,617x = 61,443 × 61,443
  4. Step 4: Simplify right side
    40,617x = 3,775,242,249
  5. Step 5: Solve for x
    x = 3,775,242,249/40,617
  6. Step 6: Final answer
    x = 92,947.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.