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Finding the Third Proportional to 27,472 and 61,192

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Solution

The third proportional to 27,472 and 61,192 is: 136,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 61,192 = 61,192 : x
  2. Step 2: Convert to fraction form
    27,472/61,192 = 61,192/x
  3. Step 3: Cross multiply
    27,472x = 61,192 × 61,192
  4. Step 4: Simplify right side
    27,472x = 3,744,460,864
  5. Step 5: Solve for x
    x = 3,744,460,864/27,472
  6. Step 6: Final answer
    x = 136,300.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.