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Finding the Third Proportional to 27,302 and 57,502

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Solution

The third proportional to 27,302 and 57,502 is: 121,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302 : 57,502 = 57,502 : x
  2. Step 2: Convert to fraction form
    27,302/57,502 = 57,502/x
  3. Step 3: Cross multiply
    27,302x = 57,502 × 57,502
  4. Step 4: Simplify right side
    27,302x = 3,306,480,004
  5. Step 5: Solve for x
    x = 3,306,480,004/27,302
  6. Step 6: Final answer
    x = 121,107.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.