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Finding the Third Proportional to 17,680.22 and 38,128.22

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Solution

The third proportional to 17,680.22 and 38,128.22 is: 82,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.22 : 38,128.22 = 38,128.22 : x
  2. Step 2: Convert to fraction form
    17,680.22/38,128.22 = 38,128.22/x
  3. Step 3: Cross multiply
    17,680.22x = 38,128.22 × 38,128.22
  4. Step 4: Simplify right side
    17,680.22x = 1,453,761,065.05
  5. Step 5: Solve for x
    x = 1,453,761,065.05/17,680.22
  6. Step 6: Final answer
    x = 82,225.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.