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Finding the Third Proportional to 36,384 and 75,840

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Solution

The third proportional to 36,384 and 75,840 is: 158,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 75,840 = 75,840 : x
  2. Step 2: Convert to fraction form
    36,384/75,840 = 75,840/x
  3. Step 3: Cross multiply
    36,384x = 75,840 × 75,840
  4. Step 4: Simplify right side
    36,384x = 5,751,705,600
  5. Step 5: Solve for x
    x = 5,751,705,600/36,384
  6. Step 6: Final answer
    x = 158,083.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.