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Finding the Third Proportional to 23,531 and 51,670

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Solution

The third proportional to 23,531 and 51,670 is: 113,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531 : 51,670 = 51,670 : x
  2. Step 2: Convert to fraction form
    23,531/51,670 = 51,670/x
  3. Step 3: Cross multiply
    23,531x = 51,670 × 51,670
  4. Step 4: Simplify right side
    23,531x = 2,669,788,900
  5. Step 5: Solve for x
    x = 2,669,788,900/23,531
  6. Step 6: Final answer
    x = 113,458.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.