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Finding the Third Proportional to 12,219 and 26,781

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Solution

The third proportional to 12,219 and 26,781 is: 58,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219 : 26,781 = 26,781 : x
  2. Step 2: Convert to fraction form
    12,219/26,781 = 26,781/x
  3. Step 3: Cross multiply
    12,219x = 26,781 × 26,781
  4. Step 4: Simplify right side
    12,219x = 717,221,961
  5. Step 5: Solve for x
    x = 717,221,961/12,219
  6. Step 6: Final answer
    x = 58,697.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.