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Finding the Third Proportional to 23,194 and 49,970

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Solution

The third proportional to 23,194 and 49,970 is: 107,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194 : 49,970 = 49,970 : x
  2. Step 2: Convert to fraction form
    23,194/49,970 = 49,970/x
  3. Step 3: Cross multiply
    23,194x = 49,970 × 49,970
  4. Step 4: Simplify right side
    23,194x = 2,497,000,900
  5. Step 5: Solve for x
    x = 2,497,000,900/23,194
  6. Step 6: Final answer
    x = 107,657.19

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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.