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Finding the Third Proportional to 32,772 and 49,427

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Solution

The third proportional to 32,772 and 49,427 is: 74,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 49,427 = 49,427 : x
  2. Step 2: Convert to fraction form
    32,772/49,427 = 49,427/x
  3. Step 3: Cross multiply
    32,772x = 49,427 × 49,427
  4. Step 4: Simplify right side
    32,772x = 2,443,028,329
  5. Step 5: Solve for x
    x = 2,443,028,329/32,772
  6. Step 6: Final answer
    x = 74,546.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.