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Finding the Third Proportional to 12,289 and 26,331

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Solution

The third proportional to 12,289 and 26,331 is: 56,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289 : 26,331 = 26,331 : x
  2. Step 2: Convert to fraction form
    12,289/26,331 = 26,331/x
  3. Step 3: Cross multiply
    12,289x = 26,331 × 26,331
  4. Step 4: Simplify right side
    12,289x = 693,321,561
  5. Step 5: Solve for x
    x = 693,321,561/12,289
  6. Step 6: Final answer
    x = 56,418.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.