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Finding the Third Proportional to 19,809 and 22,833

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Solution

The third proportional to 19,809 and 22,833 is: 26,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809 : 22,833 = 22,833 : x
  2. Step 2: Convert to fraction form
    19,809/22,833 = 22,833/x
  3. Step 3: Cross multiply
    19,809x = 22,833 × 22,833
  4. Step 4: Simplify right side
    19,809x = 521,345,889
  5. Step 5: Solve for x
    x = 521,345,889/19,809
  6. Step 6: Final answer
    x = 26,318.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.