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Finding the Third Proportional to 21,511.69 and 31,634.44

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Solution

The third proportional to 21,511.69 and 31,634.44 is: 46,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.69 : 31,634.44 = 31,634.44 : x
  2. Step 2: Convert to fraction form
    21,511.69/31,634.44 = 31,634.44/x
  3. Step 3: Cross multiply
    21,511.69x = 31,634.44 × 31,634.44
  4. Step 4: Simplify right side
    21,511.69x = 1,000,737,635.94
  5. Step 5: Solve for x
    x = 1,000,737,635.94/21,511.69
  6. Step 6: Final answer
    x = 46,520.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.