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Finding the Third Proportional to 32,264 and 49,851

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Solution

The third proportional to 32,264 and 49,851 is: 77,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 49,851 = 49,851 : x
  2. Step 2: Convert to fraction form
    32,264/49,851 = 49,851/x
  3. Step 3: Cross multiply
    32,264x = 49,851 × 49,851
  4. Step 4: Simplify right side
    32,264x = 2,485,122,201
  5. Step 5: Solve for x
    x = 2,485,122,201/32,264
  6. Step 6: Final answer
    x = 77,024.62

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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.