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Finding the Third Proportional to 853.66 and 1,868.06

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Solution

The third proportional to 853.66 and 1,868.06 is: 4,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.66 : 1,868.06 = 1,868.06 : x
  2. Step 2: Convert to fraction form
    853.66/1,868.06 = 1,868.06/x
  3. Step 3: Cross multiply
    853.66x = 1,868.06 × 1,868.06
  4. Step 4: Simplify right side
    853.66x = 3,489,657.50
  5. Step 5: Solve for x
    x = 3,489,657.50/853.66
  6. Step 6: Final answer
    x = 4,087.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.