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Finding the Third Proportional to 12,005 and 26,026

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Solution

The third proportional to 12,005 and 26,026 is: 56,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 26,026 = 26,026 : x
  2. Step 2: Convert to fraction form
    12,005/26,026 = 26,026/x
  3. Step 3: Cross multiply
    12,005x = 26,026 × 26,026
  4. Step 4: Simplify right side
    12,005x = 677,352,676
  5. Step 5: Solve for x
    x = 677,352,676/12,005
  6. Step 6: Final answer
    x = 56,422.55

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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.