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Finding the Third Proportional to 19,594 and 41,684

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Solution

The third proportional to 19,594 and 41,684 is: 88,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594 : 41,684 = 41,684 : x
  2. Step 2: Convert to fraction form
    19,594/41,684 = 41,684/x
  3. Step 3: Cross multiply
    19,594x = 41,684 × 41,684
  4. Step 4: Simplify right side
    19,594x = 1,737,555,856
  5. Step 5: Solve for x
    x = 1,737,555,856/19,594
  6. Step 6: Final answer
    x = 88,677.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.