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Finding the Third Proportional to 33,782.06 and 54,415.13

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Solution

The third proportional to 33,782.06 and 54,415.13 is: 87,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.06 : 54,415.13 = 54,415.13 : x
  2. Step 2: Convert to fraction form
    33,782.06/54,415.13 = 54,415.13/x
  3. Step 3: Cross multiply
    33,782.06x = 54,415.13 × 54,415.13
  4. Step 4: Simplify right side
    33,782.06x = 2,961,005,828.77
  5. Step 5: Solve for x
    x = 2,961,005,828.77/33,782.06
  6. Step 6: Final answer
    x = 87,650.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.