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Finding the Third Proportional to 2,940.92 and 4,555.54

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Solution

The third proportional to 2,940.92 and 4,555.54 is: 7,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.92 : 4,555.54 = 4,555.54 : x
  2. Step 2: Convert to fraction form
    2,940.92/4,555.54 = 4,555.54/x
  3. Step 3: Cross multiply
    2,940.92x = 4,555.54 × 4,555.54
  4. Step 4: Simplify right side
    2,940.92x = 20,752,927.25
  5. Step 5: Solve for x
    x = 20,752,927.25/2,940.92
  6. Step 6: Final answer
    x = 7,056.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.