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Finding the Third Proportional to 41,392 and 55,644

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Solution

The third proportional to 41,392 and 55,644 is: 74,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,392 : 55,644 = 55,644 : x
  2. Step 2: Convert to fraction form
    41,392/55,644 = 55,644/x
  3. Step 3: Cross multiply
    41,392x = 55,644 × 55,644
  4. Step 4: Simplify right side
    41,392x = 3,096,254,736
  5. Step 5: Solve for x
    x = 3,096,254,736/41,392
  6. Step 6: Final answer
    x = 74,803.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.