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Finding the Third Proportional to 30,511.69 and 44,367.75

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Solution

The third proportional to 30,511.69 and 44,367.75 is: 64,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 44,367.75 = 44,367.75 : x
  2. Step 2: Convert to fraction form
    30,511.69/44,367.75 = 44,367.75/x
  3. Step 3: Cross multiply
    30,511.69x = 44,367.75 × 44,367.75
  4. Step 4: Simplify right side
    30,511.69x = 1,968,497,240.06
  5. Step 5: Solve for x
    x = 1,968,497,240.06/30,511.69
  6. Step 6: Final answer
    x = 64,516.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.