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Finding the Third Proportional to 33,387.75 and 44,599.50

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Solution

The third proportional to 33,387.75 and 44,599.50 is: 59,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387.75 : 44,599.50 = 44,599.50 : x
  2. Step 2: Convert to fraction form
    33,387.75/44,599.50 = 44,599.50/x
  3. Step 3: Cross multiply
    33,387.75x = 44,599.50 × 44,599.50
  4. Step 4: Simplify right side
    33,387.75x = 1,989,115,400.25
  5. Step 5: Solve for x
    x = 1,989,115,400.25/33,387.75
  6. Step 6: Final answer
    x = 59,576.20

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Why These Related Problems?

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