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Finding the Third Proportional to 33,589.75 and 52,427

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Solution

The third proportional to 33,589.75 and 52,427 is: 81,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.75 : 52,427 = 52,427 : x
  2. Step 2: Convert to fraction form
    33,589.75/52,427 = 52,427/x
  3. Step 3: Cross multiply
    33,589.75x = 52,427 × 52,427
  4. Step 4: Simplify right side
    33,589.75x = 2,748,590,329
  5. Step 5: Solve for x
    x = 2,748,590,329/33,589.75
  6. Step 6: Final answer
    x = 81,828.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.