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Finding the Third Proportional to 17,670 and 38,576

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Solution

The third proportional to 17,670 and 38,576 is: 84,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670 : 38,576 = 38,576 : x
  2. Step 2: Convert to fraction form
    17,670/38,576 = 38,576/x
  3. Step 3: Cross multiply
    17,670x = 38,576 × 38,576
  4. Step 4: Simplify right side
    17,670x = 1,488,107,776
  5. Step 5: Solve for x
    x = 1,488,107,776/17,670
  6. Step 6: Final answer
    x = 84,216.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.