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Finding the Third Proportional to 32,739.47 and 48,495.38

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Solution

The third proportional to 32,739.47 and 48,495.38 is: 71,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,739.47 : 48,495.38 = 48,495.38 : x
  2. Step 2: Convert to fraction form
    32,739.47/48,495.38 = 48,495.38/x
  3. Step 3: Cross multiply
    32,739.47x = 48,495.38 × 48,495.38
  4. Step 4: Simplify right side
    32,739.47x = 2,351,801,396.39
  5. Step 5: Solve for x
    x = 2,351,801,396.39/32,739.47
  6. Step 6: Final answer
    x = 71,833.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.