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Finding the Third Proportional to 23,688 and 31,279

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Solution

The third proportional to 23,688 and 31,279 is: 41,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688 : 31,279 = 31,279 : x
  2. Step 2: Convert to fraction form
    23,688/31,279 = 31,279/x
  3. Step 3: Cross multiply
    23,688x = 31,279 × 31,279
  4. Step 4: Simplify right side
    23,688x = 978,375,841
  5. Step 5: Solve for x
    x = 978,375,841/23,688
  6. Step 6: Final answer
    x = 41,302.59

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.