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Finding the Third Proportional to 19,206 and 21,804

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Solution

The third proportional to 19,206 and 21,804 is: 24,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 21,804 = 21,804 : x
  2. Step 2: Convert to fraction form
    19,206/21,804 = 21,804/x
  3. Step 3: Cross multiply
    19,206x = 21,804 × 21,804
  4. Step 4: Simplify right side
    19,206x = 475,414,416
  5. Step 5: Solve for x
    x = 475,414,416/19,206
  6. Step 6: Final answer
    x = 24,753.43

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.