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Finding the Third Proportional to 43,998.19 and 48,493.69

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Solution

The third proportional to 43,998.19 and 48,493.69 is: 53,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,998.19 : 48,493.69 = 48,493.69 : x
  2. Step 2: Convert to fraction form
    43,998.19/48,493.69 = 48,493.69/x
  3. Step 3: Cross multiply
    43,998.19x = 48,493.69 × 48,493.69
  4. Step 4: Simplify right side
    43,998.19x = 2,351,637,727.35
  5. Step 5: Solve for x
    x = 2,351,637,727.35/43,998.19
  6. Step 6: Final answer
    x = 53,448.51

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.