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Finding the Third Proportional to 40,883 and 55,219

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Solution

The third proportional to 40,883 and 55,219 is: 74,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,883 : 55,219 = 55,219 : x
  2. Step 2: Convert to fraction form
    40,883/55,219 = 55,219/x
  3. Step 3: Cross multiply
    40,883x = 55,219 × 55,219
  4. Step 4: Simplify right side
    40,883x = 3,049,137,961
  5. Step 5: Solve for x
    x = 3,049,137,961/40,883
  6. Step 6: Final answer
    x = 74,582.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.