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Finding the Third Proportional to 27,668 and 41,522

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Solution

The third proportional to 27,668 and 41,522 is: 62,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668 : 41,522 = 41,522 : x
  2. Step 2: Convert to fraction form
    27,668/41,522 = 41,522/x
  3. Step 3: Cross multiply
    27,668x = 41,522 × 41,522
  4. Step 4: Simplify right side
    27,668x = 1,724,076,484
  5. Step 5: Solve for x
    x = 1,724,076,484/27,668
  6. Step 6: Final answer
    x = 62,313.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.