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Finding the Third Proportional to 1,902.95 and 2,940.92

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Solution

The third proportional to 1,902.95 and 2,940.92 is: 4,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.95 : 2,940.92 = 2,940.92 : x
  2. Step 2: Convert to fraction form
    1,902.95/2,940.92 = 2,940.92/x
  3. Step 3: Cross multiply
    1,902.95x = 2,940.92 × 2,940.92
  4. Step 4: Simplify right side
    1,902.95x = 8,648,992.75
  5. Step 5: Solve for x
    x = 8,648,992.75/1,902.95
  6. Step 6: Final answer
    x = 4,545.05

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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.