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Finding the Third Proportional to 33,237 and 49,742.44

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Solution

The third proportional to 33,237 and 49,742.44 is: 74,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237 : 49,742.44 = 49,742.44 : x
  2. Step 2: Convert to fraction form
    33,237/49,742.44 = 49,742.44/x
  3. Step 3: Cross multiply
    33,237x = 49,742.44 × 49,742.44
  4. Step 4: Simplify right side
    33,237x = 2,474,310,088.44
  5. Step 5: Solve for x
    x = 2,474,310,088.44/33,237
  6. Step 6: Final answer
    x = 74,444.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.