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Finding the Third Proportional to 33,102 and 75,627

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Solution

The third proportional to 33,102 and 75,627 is: 172,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102 : 75,627 = 75,627 : x
  2. Step 2: Convert to fraction form
    33,102/75,627 = 75,627/x
  3. Step 3: Cross multiply
    33,102x = 75,627 × 75,627
  4. Step 4: Simplify right side
    33,102x = 5,719,443,129
  5. Step 5: Solve for x
    x = 5,719,443,129/33,102
  6. Step 6: Final answer
    x = 172,782.40

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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.