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Finding the Third Proportional to 19,229 and 39,990

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Solution

The third proportional to 19,229 and 39,990 is: 83,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229 : 39,990 = 39,990 : x
  2. Step 2: Convert to fraction form
    19,229/39,990 = 39,990/x
  3. Step 3: Cross multiply
    19,229x = 39,990 × 39,990
  4. Step 4: Simplify right side
    19,229x = 1,599,200,100
  5. Step 5: Solve for x
    x = 1,599,200,100/19,229
  6. Step 6: Final answer
    x = 83,166.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.