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Finding the Third Proportional to 30,511.69 and 33,313.78

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Solution

The third proportional to 30,511.69 and 33,313.78 is: 36,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 33,313.78 = 33,313.78 : x
  2. Step 2: Convert to fraction form
    30,511.69/33,313.78 = 33,313.78/x
  3. Step 3: Cross multiply
    30,511.69x = 33,313.78 × 33,313.78
  4. Step 4: Simplify right side
    30,511.69x = 1,109,808,021.17
  5. Step 5: Solve for x
    x = 1,109,808,021.17/30,511.69
  6. Step 6: Final answer
    x = 36,373.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.