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Finding the Third Proportional to 32,474.67 and 39,559.64

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Solution

The third proportional to 32,474.67 and 39,559.64 is: 48,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.67 : 39,559.64 = 39,559.64 : x
  2. Step 2: Convert to fraction form
    32,474.67/39,559.64 = 39,559.64/x
  3. Step 3: Cross multiply
    32,474.67x = 39,559.64 × 39,559.64
  4. Step 4: Simplify right side
    32,474.67x = 1,564,965,166.38
  5. Step 5: Solve for x
    x = 1,564,965,166.38/32,474.67
  6. Step 6: Final answer
    x = 48,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.