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Finding the Third Proportional to 19,806 and 44,039

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Solution

The third proportional to 19,806 and 44,039 is: 97,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 44,039 = 44,039 : x
  2. Step 2: Convert to fraction form
    19,806/44,039 = 44,039/x
  3. Step 3: Cross multiply
    19,806x = 44,039 × 44,039
  4. Step 4: Simplify right side
    19,806x = 1,939,433,521
  5. Step 5: Solve for x
    x = 1,939,433,521/19,806
  6. Step 6: Final answer
    x = 97,921.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.