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Finding the Third Proportional to 21,194 and 46,622

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Solution

The third proportional to 21,194 and 46,622 is: 102,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 46,622 = 46,622 : x
  2. Step 2: Convert to fraction form
    21,194/46,622 = 46,622/x
  3. Step 3: Cross multiply
    21,194x = 46,622 × 46,622
  4. Step 4: Simplify right side
    21,194x = 2,173,610,884
  5. Step 5: Solve for x
    x = 2,173,610,884/21,194
  6. Step 6: Final answer
    x = 102,557.84

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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.