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Finding the Third Proportional to 12,826 and 26,291

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Solution

The third proportional to 12,826 and 26,291 is: 53,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 26,291 = 26,291 : x
  2. Step 2: Convert to fraction form
    12,826/26,291 = 26,291/x
  3. Step 3: Cross multiply
    12,826x = 26,291 × 26,291
  4. Step 4: Simplify right side
    12,826x = 691,216,681
  5. Step 5: Solve for x
    x = 691,216,681/12,826
  6. Step 6: Final answer
    x = 53,891.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.