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Finding the Third Proportional to 32,820.75 and 66,844.69

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Solution

The third proportional to 32,820.75 and 66,844.69 is: 136,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.75 : 66,844.69 = 66,844.69 : x
  2. Step 2: Convert to fraction form
    32,820.75/66,844.69 = 66,844.69/x
  3. Step 3: Cross multiply
    32,820.75x = 66,844.69 × 66,844.69
  4. Step 4: Simplify right side
    32,820.75x = 4,468,212,246.97
  5. Step 5: Solve for x
    x = 4,468,212,246.97/32,820.75
  6. Step 6: Final answer
    x = 136,139.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.