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Finding the Third Proportional to 33,549.19 and 76,499.44

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Solution

The third proportional to 33,549.19 and 76,499.44 is: 174,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.19 : 76,499.44 = 76,499.44 : x
  2. Step 2: Convert to fraction form
    33,549.19/76,499.44 = 76,499.44/x
  3. Step 3: Cross multiply
    33,549.19x = 76,499.44 × 76,499.44
  4. Step 4: Simplify right side
    33,549.19x = 5,852,163,937.82
  5. Step 5: Solve for x
    x = 5,852,163,937.82/33,549.19
  6. Step 6: Final answer
    x = 174,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.