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Finding the Third Proportional to 19,616 and 21,803

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Solution

The third proportional to 19,616 and 21,803 is: 24,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 21,803 = 21,803 : x
  2. Step 2: Convert to fraction form
    19,616/21,803 = 21,803/x
  3. Step 3: Cross multiply
    19,616x = 21,803 × 21,803
  4. Step 4: Simplify right side
    19,616x = 475,370,809
  5. Step 5: Solve for x
    x = 475,370,809/19,616
  6. Step 6: Final answer
    x = 24,233.83

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.