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Finding the Third Proportional to 2,992.83 and 4,736.67

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Solution

The third proportional to 2,992.83 and 4,736.67 is: 7,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.83 : 4,736.67 = 4,736.67 : x
  2. Step 2: Convert to fraction form
    2,992.83/4,736.67 = 4,736.67/x
  3. Step 3: Cross multiply
    2,992.83x = 4,736.67 × 4,736.67
  4. Step 4: Simplify right side
    2,992.83x = 22,436,060.45
  5. Step 5: Solve for x
    x = 22,436,060.45/2,992.83
  6. Step 6: Final answer
    x = 7,496.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.