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Finding the Third Proportional to 2,924.54 and 4,376.85

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Solution

The third proportional to 2,924.54 and 4,376.85 is: 6,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.54 : 4,376.85 = 4,376.85 : x
  2. Step 2: Convert to fraction form
    2,924.54/4,376.85 = 4,376.85/x
  3. Step 3: Cross multiply
    2,924.54x = 4,376.85 × 4,376.85
  4. Step 4: Simplify right side
    2,924.54x = 19,156,795.41
  5. Step 5: Solve for x
    x = 19,156,795.41/2,924.54
  6. Step 6: Final answer
    x = 6,550.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.