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Finding the Third Proportional to 859.88 and 1,855.50

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Solution

The third proportional to 859.88 and 1,855.50 is: 4,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.88 : 1,855.50 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    859.88/1,855.50 = 1,855.50/x
  3. Step 3: Cross multiply
    859.88x = 1,855.50 × 1,855.50
  4. Step 4: Simplify right side
    859.88x = 3,442,880.25
  5. Step 5: Solve for x
    x = 3,442,880.25/859.88
  6. Step 6: Final answer
    x = 4,003.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.