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Finding the Third Proportional to 12,806 and 18,833

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Solution

The third proportional to 12,806 and 18,833 is: 27,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806 : 18,833 = 18,833 : x
  2. Step 2: Convert to fraction form
    12,806/18,833 = 18,833/x
  3. Step 3: Cross multiply
    12,806x = 18,833 × 18,833
  4. Step 4: Simplify right side
    12,806x = 354,681,889
  5. Step 5: Solve for x
    x = 354,681,889/12,806
  6. Step 6: Final answer
    x = 27,696.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.