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Finding the Third Proportional to 32,451 and 48,939

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Solution

The third proportional to 32,451 and 48,939 is: 73,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451 : 48,939 = 48,939 : x
  2. Step 2: Convert to fraction form
    32,451/48,939 = 48,939/x
  3. Step 3: Cross multiply
    32,451x = 48,939 × 48,939
  4. Step 4: Simplify right side
    32,451x = 2,395,025,721
  5. Step 5: Solve for x
    x = 2,395,025,721/32,451
  6. Step 6: Final answer
    x = 73,804.37

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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.