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Finding the Third Proportional to 11,882 and 26,020

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Solution

The third proportional to 11,882 and 26,020 is: 56,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 26,020 = 26,020 : x
  2. Step 2: Convert to fraction form
    11,882/26,020 = 26,020/x
  3. Step 3: Cross multiply
    11,882x = 26,020 × 26,020
  4. Step 4: Simplify right side
    11,882x = 677,040,400
  5. Step 5: Solve for x
    x = 677,040,400/11,882
  6. Step 6: Final answer
    x = 56,980.34

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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.