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Finding the Third Proportional to 40,034 and 59,827

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Solution

The third proportional to 40,034 and 59,827 is: 89,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,034 : 59,827 = 59,827 : x
  2. Step 2: Convert to fraction form
    40,034/59,827 = 59,827/x
  3. Step 3: Cross multiply
    40,034x = 59,827 × 59,827
  4. Step 4: Simplify right side
    40,034x = 3,579,269,929
  5. Step 5: Solve for x
    x = 3,579,269,929/40,034
  6. Step 6: Final answer
    x = 89,405.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.