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Finding the Third Proportional to 852.33 and 1,862.86

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Solution

The third proportional to 852.33 and 1,862.86 is: 4,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.33 : 1,862.86 = 1,862.86 : x
  2. Step 2: Convert to fraction form
    852.33/1,862.86 = 1,862.86/x
  3. Step 3: Cross multiply
    852.33x = 1,862.86 × 1,862.86
  4. Step 4: Simplify right side
    852.33x = 3,470,245.05
  5. Step 5: Solve for x
    x = 3,470,245.05/852.33
  6. Step 6: Final answer
    x = 4,071.49

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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.