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Finding the Third Proportional to 32,806 and 49,201

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Solution

The third proportional to 32,806 and 49,201 is: 73,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806 : 49,201 = 49,201 : x
  2. Step 2: Convert to fraction form
    32,806/49,201 = 49,201/x
  3. Step 3: Cross multiply
    32,806x = 49,201 × 49,201
  4. Step 4: Simplify right side
    32,806x = 2,420,738,401
  5. Step 5: Solve for x
    x = 2,420,738,401/32,806
  6. Step 6: Final answer
    x = 73,789.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.