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Finding the Third Proportional to 27,497 and 59,338

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Solution

The third proportional to 27,497 and 59,338 is: 128,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497 : 59,338 = 59,338 : x
  2. Step 2: Convert to fraction form
    27,497/59,338 = 59,338/x
  3. Step 3: Cross multiply
    27,497x = 59,338 × 59,338
  4. Step 4: Simplify right side
    27,497x = 3,520,998,244
  5. Step 5: Solve for x
    x = 3,520,998,244/27,497
  6. Step 6: Final answer
    x = 128,050.27

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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.