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Finding the Third Proportional to 4,425 and 9,680.25

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Solution

The third proportional to 4,425 and 9,680.25 is: 21,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 9,680.25 = 9,680.25 : x
  2. Step 2: Convert to fraction form
    4,425/9,680.25 = 9,680.25/x
  3. Step 3: Cross multiply
    4,425x = 9,680.25 × 9,680.25
  4. Step 4: Simplify right side
    4,425x = 93,707,240.06
  5. Step 5: Solve for x
    x = 93,707,240.06/4,425
  6. Step 6: Final answer
    x = 21,176.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.