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Finding the Third Proportional to 19,364 and 30,338

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Solution

The third proportional to 19,364 and 30,338 is: 47,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364 : 30,338 = 30,338 : x
  2. Step 2: Convert to fraction form
    19,364/30,338 = 30,338/x
  3. Step 3: Cross multiply
    19,364x = 30,338 × 30,338
  4. Step 4: Simplify right side
    19,364x = 920,394,244
  5. Step 5: Solve for x
    x = 920,394,244/19,364
  6. Step 6: Final answer
    x = 47,531.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.