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Finding the Third Proportional to 34,882 and 75,284

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Solution

The third proportional to 34,882 and 75,284 is: 162,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882 : 75,284 = 75,284 : x
  2. Step 2: Convert to fraction form
    34,882/75,284 = 75,284/x
  3. Step 3: Cross multiply
    34,882x = 75,284 × 75,284
  4. Step 4: Simplify right side
    34,882x = 5,667,680,656
  5. Step 5: Solve for x
    x = 5,667,680,656/34,882
  6. Step 6: Final answer
    x = 162,481.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.