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Finding the Third Proportional to 27,397 and 59,165

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Solution

The third proportional to 27,397 and 59,165 is: 127,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397 : 59,165 = 59,165 : x
  2. Step 2: Convert to fraction form
    27,397/59,165 = 59,165/x
  3. Step 3: Cross multiply
    27,397x = 59,165 × 59,165
  4. Step 4: Simplify right side
    27,397x = 3,500,497,225
  5. Step 5: Solve for x
    x = 3,500,497,225/27,397
  6. Step 6: Final answer
    x = 127,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.