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Finding the Third Proportional to 32,474 and 49,062

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Solution

The third proportional to 32,474 and 49,062 is: 74,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474 : 49,062 = 49,062 : x
  2. Step 2: Convert to fraction form
    32,474/49,062 = 49,062/x
  3. Step 3: Cross multiply
    32,474x = 49,062 × 49,062
  4. Step 4: Simplify right side
    32,474x = 2,407,079,844
  5. Step 5: Solve for x
    x = 2,407,079,844/32,474
  6. Step 6: Final answer
    x = 74,123.29

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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.