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Finding the Third Proportional to 849.02 and 1,857.45

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Solution

The third proportional to 849.02 and 1,857.45 is: 4,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,857.45 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    849.02/1,857.45 = 1,857.45/x
  3. Step 3: Cross multiply
    849.02x = 1,857.45 × 1,857.45
  4. Step 4: Simplify right side
    849.02x = 3,450,103.09
  5. Step 5: Solve for x
    x = 3,450,103.09/849.02
  6. Step 6: Final answer
    x = 4,063.61

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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.