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Finding the Third Proportional to 22,285 and 47,917

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Solution

The third proportional to 22,285 and 47,917 is: 103,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285 : 47,917 = 47,917 : x
  2. Step 2: Convert to fraction form
    22,285/47,917 = 47,917/x
  3. Step 3: Cross multiply
    22,285x = 47,917 × 47,917
  4. Step 4: Simplify right side
    22,285x = 2,296,038,889
  5. Step 5: Solve for x
    x = 2,296,038,889/22,285
  6. Step 6: Final answer
    x = 103,030.69

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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.