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Finding the Third Proportional to 23,971 and 38,296

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Solution

The third proportional to 23,971 and 38,296 is: 61,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971 : 38,296 = 38,296 : x
  2. Step 2: Convert to fraction form
    23,971/38,296 = 38,296/x
  3. Step 3: Cross multiply
    23,971x = 38,296 × 38,296
  4. Step 4: Simplify right side
    23,971x = 1,466,583,616
  5. Step 5: Solve for x
    x = 1,466,583,616/23,971
  6. Step 6: Final answer
    x = 61,181.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.