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Finding the Third Proportional to 27,337 and 59,207

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Solution

The third proportional to 27,337 and 59,207 is: 128,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337 : 59,207 = 59,207 : x
  2. Step 2: Convert to fraction form
    27,337/59,207 = 59,207/x
  3. Step 3: Cross multiply
    27,337x = 59,207 × 59,207
  4. Step 4: Simplify right side
    27,337x = 3,505,468,849
  5. Step 5: Solve for x
    x = 3,505,468,849/27,337
  6. Step 6: Final answer
    x = 128,231.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.