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Finding the Third Proportional to 22,324 and 30,318

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Solution

The third proportional to 22,324 and 30,318 is: 41,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324 : 30,318 = 30,318 : x
  2. Step 2: Convert to fraction form
    22,324/30,318 = 30,318/x
  3. Step 3: Cross multiply
    22,324x = 30,318 × 30,318
  4. Step 4: Simplify right side
    22,324x = 919,181,124
  5. Step 5: Solve for x
    x = 919,181,124/22,324
  6. Step 6: Final answer
    x = 41,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.