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Finding the Third Proportional to 19,188 and 44,856

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Solution

The third proportional to 19,188 and 44,856 is: 104,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 44,856 = 44,856 : x
  2. Step 2: Convert to fraction form
    19,188/44,856 = 44,856/x
  3. Step 3: Cross multiply
    19,188x = 44,856 × 44,856
  4. Step 4: Simplify right side
    19,188x = 2,012,060,736
  5. Step 5: Solve for x
    x = 2,012,060,736/19,188
  6. Step 6: Final answer
    x = 104,860.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.