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Finding the Third Proportional to 33,783.75 and 44,371.13

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Solution

The third proportional to 33,783.75 and 44,371.13 is: 58,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.75 : 44,371.13 = 44,371.13 : x
  2. Step 2: Convert to fraction form
    33,783.75/44,371.13 = 44,371.13/x
  3. Step 3: Cross multiply
    33,783.75x = 44,371.13 × 44,371.13
  4. Step 4: Simplify right side
    33,783.75x = 1,968,796,733.77
  5. Step 5: Solve for x
    x = 1,968,796,733.77/33,783.75
  6. Step 6: Final answer
    x = 58,276.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.