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Finding the Third Proportional to 8,234 and 19,900

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Solution

The third proportional to 8,234 and 19,900 is: 48,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234 : 19,900 = 19,900 : x
  2. Step 2: Convert to fraction form
    8,234/19,900 = 19,900/x
  3. Step 3: Cross multiply
    8,234x = 19,900 × 19,900
  4. Step 4: Simplify right side
    8,234x = 396,010,000
  5. Step 5: Solve for x
    x = 396,010,000/8,234
  6. Step 6: Final answer
    x = 48,094.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.