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Finding the Third Proportional to 15,891 and 30,339

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Solution

The third proportional to 15,891 and 30,339 is: 57,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891 : 30,339 = 30,339 : x
  2. Step 2: Convert to fraction form
    15,891/30,339 = 30,339/x
  3. Step 3: Cross multiply
    15,891x = 30,339 × 30,339
  4. Step 4: Simplify right side
    15,891x = 920,454,921
  5. Step 5: Solve for x
    x = 920,454,921/15,891
  6. Step 6: Final answer
    x = 57,923.03

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.