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Finding the Third Proportional to 12,238 and 26,550

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Solution

The third proportional to 12,238 and 26,550 is: 57,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238 : 26,550 = 26,550 : x
  2. Step 2: Convert to fraction form
    12,238/26,550 = 26,550/x
  3. Step 3: Cross multiply
    12,238x = 26,550 × 26,550
  4. Step 4: Simplify right side
    12,238x = 704,902,500
  5. Step 5: Solve for x
    x = 704,902,500/12,238
  6. Step 6: Final answer
    x = 57,599.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.