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Finding the Third Proportional to 12,424 and 26,239

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Solution

The third proportional to 12,424 and 26,239 is: 55,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 26,239 = 26,239 : x
  2. Step 2: Convert to fraction form
    12,424/26,239 = 26,239/x
  3. Step 3: Cross multiply
    12,424x = 26,239 × 26,239
  4. Step 4: Simplify right side
    12,424x = 688,485,121
  5. Step 5: Solve for x
    x = 688,485,121/12,424
  6. Step 6: Final answer
    x = 55,415.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.