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Finding the Third Proportional to 21,930 and 48,234

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Solution

The third proportional to 21,930 and 48,234 is: 106,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 48,234 = 48,234 : x
  2. Step 2: Convert to fraction form
    21,930/48,234 = 48,234/x
  3. Step 3: Cross multiply
    21,930x = 48,234 × 48,234
  4. Step 4: Simplify right side
    21,930x = 2,326,518,756
  5. Step 5: Solve for x
    x = 2,326,518,756/21,930
  6. Step 6: Final answer
    x = 106,088.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.