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Finding the Third Proportional to 17,765.44 and 38,219.06

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Solution

The third proportional to 17,765.44 and 38,219.06 is: 82,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.44 : 38,219.06 = 38,219.06 : x
  2. Step 2: Convert to fraction form
    17,765.44/38,219.06 = 38,219.06/x
  3. Step 3: Cross multiply
    17,765.44x = 38,219.06 × 38,219.06
  4. Step 4: Simplify right side
    17,765.44x = 1,460,696,738.38
  5. Step 5: Solve for x
    x = 1,460,696,738.38/17,765.44
  6. Step 6: Final answer
    x = 82,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.