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Finding the Third Proportional to 30,866 and 66,196

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Solution

The third proportional to 30,866 and 66,196 is: 141,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866 : 66,196 = 66,196 : x
  2. Step 2: Convert to fraction form
    30,866/66,196 = 66,196/x
  3. Step 3: Cross multiply
    30,866x = 66,196 × 66,196
  4. Step 4: Simplify right side
    30,866x = 4,381,910,416
  5. Step 5: Solve for x
    x = 4,381,910,416/30,866
  6. Step 6: Final answer
    x = 141,965.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.