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Finding the Third Proportional to 4,990.78 and 7,680.23

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Solution

The third proportional to 4,990.78 and 7,680.23 is: 11,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.78 : 7,680.23 = 7,680.23 : x
  2. Step 2: Convert to fraction form
    4,990.78/7,680.23 = 7,680.23/x
  3. Step 3: Cross multiply
    4,990.78x = 7,680.23 × 7,680.23
  4. Step 4: Simplify right side
    4,990.78x = 58,986,000.05
  5. Step 5: Solve for x
    x = 58,986,000.05/4,990.78
  6. Step 6: Final answer
    x = 11,818.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.