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Finding the Third Proportional to 11,920 and 26,062

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Solution

The third proportional to 11,920 and 26,062 is: 56,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 26,062 = 26,062 : x
  2. Step 2: Convert to fraction form
    11,920/26,062 = 26,062/x
  3. Step 3: Cross multiply
    11,920x = 26,062 × 26,062
  4. Step 4: Simplify right side
    11,920x = 679,227,844
  5. Step 5: Solve for x
    x = 679,227,844/11,920
  6. Step 6: Final answer
    x = 56,982.20

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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.