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Finding the Third Proportional to 32,208.75 and 68,697

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Solution

The third proportional to 32,208.75 and 68,697 is: 146,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.75 : 68,697 = 68,697 : x
  2. Step 2: Convert to fraction form
    32,208.75/68,697 = 68,697/x
  3. Step 3: Cross multiply
    32,208.75x = 68,697 × 68,697
  4. Step 4: Simplify right side
    32,208.75x = 4,719,277,809
  5. Step 5: Solve for x
    x = 4,719,277,809/32,208.75
  6. Step 6: Final answer
    x = 146,521.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.