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Finding the Third Proportional to 852.88 and 1,851.75

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Solution

The third proportional to 852.88 and 1,851.75 is: 4,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.88 : 1,851.75 = 1,851.75 : x
  2. Step 2: Convert to fraction form
    852.88/1,851.75 = 1,851.75/x
  3. Step 3: Cross multiply
    852.88x = 1,851.75 × 1,851.75
  4. Step 4: Simplify right side
    852.88x = 3,428,978.06
  5. Step 5: Solve for x
    x = 3,428,978.06/852.88
  6. Step 6: Final answer
    x = 4,020.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.