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Finding the Third Proportional to 11,018 and 22,777

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Solution

The third proportional to 11,018 and 22,777 is: 47,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018 : 22,777 = 22,777 : x
  2. Step 2: Convert to fraction form
    11,018/22,777 = 22,777/x
  3. Step 3: Cross multiply
    11,018x = 22,777 × 22,777
  4. Step 4: Simplify right side
    11,018x = 518,791,729
  5. Step 5: Solve for x
    x = 518,791,729/11,018
  6. Step 6: Final answer
    x = 47,085.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.