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Finding the Third Proportional to 30,175 and 66,293

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Solution

The third proportional to 30,175 and 66,293 is: 145,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175 : 66,293 = 66,293 : x
  2. Step 2: Convert to fraction form
    30,175/66,293 = 66,293/x
  3. Step 3: Cross multiply
    30,175x = 66,293 × 66,293
  4. Step 4: Simplify right side
    30,175x = 4,394,761,849
  5. Step 5: Solve for x
    x = 4,394,761,849/30,175
  6. Step 6: Final answer
    x = 145,642.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.