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Finding the Third Proportional to 3,511.69 and 7,635.94

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Solution

The third proportional to 3,511.69 and 7,635.94 is: 16,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.69 : 7,635.94 = 7,635.94 : x
  2. Step 2: Convert to fraction form
    3,511.69/7,635.94 = 7,635.94/x
  3. Step 3: Cross multiply
    3,511.69x = 7,635.94 × 7,635.94
  4. Step 4: Simplify right side
    3,511.69x = 58,307,541.50
  5. Step 5: Solve for x
    x = 58,307,541.50/3,511.69
  6. Step 6: Final answer
    x = 16,603.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.