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Finding the Third Proportional to 34,895.25 and 76,311

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Solution

The third proportional to 34,895.25 and 76,311 is: 166,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,895.25 : 76,311 = 76,311 : x
  2. Step 2: Convert to fraction form
    34,895.25/76,311 = 76,311/x
  3. Step 3: Cross multiply
    34,895.25x = 76,311 × 76,311
  4. Step 4: Simplify right side
    34,895.25x = 5,823,368,721
  5. Step 5: Solve for x
    x = 5,823,368,721/34,895.25
  6. Step 6: Final answer
    x = 166,881.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.