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Finding the Third Proportional to 2,851.88 and 4,512.94

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Solution

The third proportional to 2,851.88 and 4,512.94 is: 7,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.88 : 4,512.94 = 4,512.94 : x
  2. Step 2: Convert to fraction form
    2,851.88/4,512.94 = 4,512.94/x
  3. Step 3: Cross multiply
    2,851.88x = 4,512.94 × 4,512.94
  4. Step 4: Simplify right side
    2,851.88x = 20,366,604.88
  5. Step 5: Solve for x
    x = 20,366,604.88/2,851.88
  6. Step 6: Final answer
    x = 7,141.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.