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Finding the Third Proportional to 21,937 and 48,247

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Solution

The third proportional to 21,937 and 48,247 is: 106,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937 : 48,247 = 48,247 : x
  2. Step 2: Convert to fraction form
    21,937/48,247 = 48,247/x
  3. Step 3: Cross multiply
    21,937x = 48,247 × 48,247
  4. Step 4: Simplify right side
    21,937x = 2,327,773,009
  5. Step 5: Solve for x
    x = 2,327,773,009/21,937
  6. Step 6: Final answer
    x = 106,111.73

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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.