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Finding the Third Proportional to 26,296 and 39,712

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Solution

The third proportional to 26,296 and 39,712 is: 59,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296 : 39,712 = 39,712 : x
  2. Step 2: Convert to fraction form
    26,296/39,712 = 39,712/x
  3. Step 3: Cross multiply
    26,296x = 39,712 × 39,712
  4. Step 4: Simplify right side
    26,296x = 1,577,042,944
  5. Step 5: Solve for x
    x = 1,577,042,944/26,296
  6. Step 6: Final answer
    x = 59,972.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.