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Finding the Third Proportional to 874.41 and 1,902.66

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Solution

The third proportional to 874.41 and 1,902.66 is: 4,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.41 : 1,902.66 = 1,902.66 : x
  2. Step 2: Convert to fraction form
    874.41/1,902.66 = 1,902.66/x
  3. Step 3: Cross multiply
    874.41x = 1,902.66 × 1,902.66
  4. Step 4: Simplify right side
    874.41x = 3,620,100.81
  5. Step 5: Solve for x
    x = 3,620,100.81/874.41
  6. Step 6: Final answer
    x = 4,140.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.