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Finding the Third Proportional to 27,494 and 59,330

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Solution

The third proportional to 27,494 and 59,330 is: 128,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494 : 59,330 = 59,330 : x
  2. Step 2: Convert to fraction form
    27,494/59,330 = 59,330/x
  3. Step 3: Cross multiply
    27,494x = 59,330 × 59,330
  4. Step 4: Simplify right side
    27,494x = 3,520,048,900
  5. Step 5: Solve for x
    x = 3,520,048,900/27,494
  6. Step 6: Final answer
    x = 128,029.71

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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.