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Finding the Third Proportional to 2,998.58 and 4,766.98

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Solution

The third proportional to 2,998.58 and 4,766.98 is: 7,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.58 : 4,766.98 = 4,766.98 : x
  2. Step 2: Convert to fraction form
    2,998.58/4,766.98 = 4,766.98/x
  3. Step 3: Cross multiply
    2,998.58x = 4,766.98 × 4,766.98
  4. Step 4: Simplify right side
    2,998.58x = 22,724,065.55
  5. Step 5: Solve for x
    x = 22,724,065.55/2,998.58
  6. Step 6: Final answer
    x = 7,578.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.