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Finding the Third Proportional to 27,286 and 60,308

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Solution

The third proportional to 27,286 and 60,308 is: 133,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286 : 60,308 = 60,308 : x
  2. Step 2: Convert to fraction form
    27,286/60,308 = 60,308/x
  3. Step 3: Cross multiply
    27,286x = 60,308 × 60,308
  4. Step 4: Simplify right side
    27,286x = 3,637,054,864
  5. Step 5: Solve for x
    x = 3,637,054,864/27,286
  6. Step 6: Final answer
    x = 133,293.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.