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Finding the Third Proportional to 23,397 and 30,356

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Solution

The third proportional to 23,397 and 30,356 is: 39,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,397 : 30,356 = 30,356 : x
  2. Step 2: Convert to fraction form
    23,397/30,356 = 30,356/x
  3. Step 3: Cross multiply
    23,397x = 30,356 × 30,356
  4. Step 4: Simplify right side
    23,397x = 921,486,736
  5. Step 5: Solve for x
    x = 921,486,736/23,397
  6. Step 6: Final answer
    x = 39,384.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.