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Finding the Third Proportional to 38,897 and 79,220.75

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Solution

The third proportional to 38,897 and 79,220.75 is: 161,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 79,220.75 = 79,220.75 : x
  2. Step 2: Convert to fraction form
    38,897/79,220.75 = 79,220.75/x
  3. Step 3: Cross multiply
    38,897x = 79,220.75 × 79,220.75
  4. Step 4: Simplify right side
    38,897x = 6,275,927,230.56
  5. Step 5: Solve for x
    x = 6,275,927,230.56/38,897
  6. Step 6: Final answer
    x = 161,347.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.