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Finding the Third Proportional to 40,992 and 55,637

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Solution

The third proportional to 40,992 and 55,637 is: 75,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992 : 55,637 = 55,637 : x
  2. Step 2: Convert to fraction form
    40,992/55,637 = 55,637/x
  3. Step 3: Cross multiply
    40,992x = 55,637 × 55,637
  4. Step 4: Simplify right side
    40,992x = 3,095,475,769
  5. Step 5: Solve for x
    x = 3,095,475,769/40,992
  6. Step 6: Final answer
    x = 75,514.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.