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Finding the Third Proportional to 27,097 and 39,414

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Solution

The third proportional to 27,097 and 39,414 is: 57,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 39,414 = 39,414 : x
  2. Step 2: Convert to fraction form
    27,097/39,414 = 39,414/x
  3. Step 3: Cross multiply
    27,097x = 39,414 × 39,414
  4. Step 4: Simplify right side
    27,097x = 1,553,463,396
  5. Step 5: Solve for x
    x = 1,553,463,396/27,097
  6. Step 6: Final answer
    x = 57,329.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.