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Finding the Third Proportional to 19,806 and 29,608

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Solution

The third proportional to 19,806 and 29,608 is: 44,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 29,608 = 29,608 : x
  2. Step 2: Convert to fraction form
    19,806/29,608 = 29,608/x
  3. Step 3: Cross multiply
    19,806x = 29,608 × 29,608
  4. Step 4: Simplify right side
    19,806x = 876,633,664
  5. Step 5: Solve for x
    x = 876,633,664/19,806
  6. Step 6: Final answer
    x = 44,261.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.