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Finding the Third Proportional to 22,343 and 47,927

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Solution

The third proportional to 22,343 and 47,927 is: 102,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343 : 47,927 = 47,927 : x
  2. Step 2: Convert to fraction form
    22,343/47,927 = 47,927/x
  3. Step 3: Cross multiply
    22,343x = 47,927 × 47,927
  4. Step 4: Simplify right side
    22,343x = 2,296,997,329
  5. Step 5: Solve for x
    x = 2,296,997,329/22,343
  6. Step 6: Final answer
    x = 102,806.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.