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Finding the Third Proportional to 33,762 and 73,284

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Solution

The third proportional to 33,762 and 73,284 is: 159,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762 : 73,284 = 73,284 : x
  2. Step 2: Convert to fraction form
    33,762/73,284 = 73,284/x
  3. Step 3: Cross multiply
    33,762x = 73,284 × 73,284
  4. Step 4: Simplify right side
    33,762x = 5,370,544,656
  5. Step 5: Solve for x
    x = 5,370,544,656/33,762
  6. Step 6: Final answer
    x = 159,070.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.