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Finding the Third Proportional to 32,194 and 49,749

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Solution

The third proportional to 32,194 and 49,749 is: 76,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194 : 49,749 = 49,749 : x
  2. Step 2: Convert to fraction form
    32,194/49,749 = 49,749/x
  3. Step 3: Cross multiply
    32,194x = 49,749 × 49,749
  4. Step 4: Simplify right side
    32,194x = 2,474,963,001
  5. Step 5: Solve for x
    x = 2,474,963,001/32,194
  6. Step 6: Final answer
    x = 76,876.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.