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Finding the Third Proportional to 32,081.75 and 66,196

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Solution

The third proportional to 32,081.75 and 66,196 is: 136,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.75 : 66,196 = 66,196 : x
  2. Step 2: Convert to fraction form
    32,081.75/66,196 = 66,196/x
  3. Step 3: Cross multiply
    32,081.75x = 66,196 × 66,196
  4. Step 4: Simplify right side
    32,081.75x = 4,381,910,416
  5. Step 5: Solve for x
    x = 4,381,910,416/32,081.75
  6. Step 6: Final answer
    x = 136,585.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.