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Finding the Third Proportional to 24,670 and 53,227

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Solution

The third proportional to 24,670 and 53,227 is: 114,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670 : 53,227 = 53,227 : x
  2. Step 2: Convert to fraction form
    24,670/53,227 = 53,227/x
  3. Step 3: Cross multiply
    24,670x = 53,227 × 53,227
  4. Step 4: Simplify right side
    24,670x = 2,833,113,529
  5. Step 5: Solve for x
    x = 2,833,113,529/24,670
  6. Step 6: Final answer
    x = 114,840.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.