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Finding the Third Proportional to 32,396.20 and 48,344.66

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Solution

The third proportional to 32,396.20 and 48,344.66 is: 72,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.20 : 48,344.66 = 48,344.66 : x
  2. Step 2: Convert to fraction form
    32,396.20/48,344.66 = 48,344.66/x
  3. Step 3: Cross multiply
    32,396.20x = 48,344.66 × 48,344.66
  4. Step 4: Simplify right side
    32,396.20x = 2,337,206,165.62
  5. Step 5: Solve for x
    x = 2,337,206,165.62/32,396.20
  6. Step 6: Final answer
    x = 72,144.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.