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Finding the Third Proportional to 1,915.05 and 4,003.80

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Solution

The third proportional to 1,915.05 and 4,003.80 is: 8,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.05 : 4,003.80 = 4,003.80 : x
  2. Step 2: Convert to fraction form
    1,915.05/4,003.80 = 4,003.80/x
  3. Step 3: Cross multiply
    1,915.05x = 4,003.80 × 4,003.80
  4. Step 4: Simplify right side
    1,915.05x = 16,030,451.98
  5. Step 5: Solve for x
    x = 16,030,451.98/1,915.05
  6. Step 6: Final answer
    x = 8,370.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.