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Finding the Third Proportional to 22,014 and 36,119

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Solution

The third proportional to 22,014 and 36,119 is: 59,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 36,119 = 36,119 : x
  2. Step 2: Convert to fraction form
    22,014/36,119 = 36,119/x
  3. Step 3: Cross multiply
    22,014x = 36,119 × 36,119
  4. Step 4: Simplify right side
    22,014x = 1,304,582,161
  5. Step 5: Solve for x
    x = 1,304,582,161/22,014
  6. Step 6: Final answer
    x = 59,261.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.