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Finding the Third Proportional to 33,774 and 52,426

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Solution

The third proportional to 33,774 and 52,426 is: 81,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774 : 52,426 = 52,426 : x
  2. Step 2: Convert to fraction form
    33,774/52,426 = 52,426/x
  3. Step 3: Cross multiply
    33,774x = 52,426 × 52,426
  4. Step 4: Simplify right side
    33,774x = 2,748,485,476
  5. Step 5: Solve for x
    x = 2,748,485,476/33,774
  6. Step 6: Final answer
    x = 81,378.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.