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Finding the Third Proportional to 849.75 and 1,971.38

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Solution

The third proportional to 849.75 and 1,971.38 is: 4,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.75 : 1,971.38 = 1,971.38 : x
  2. Step 2: Convert to fraction form
    849.75/1,971.38 = 1,971.38/x
  3. Step 3: Cross multiply
    849.75x = 1,971.38 × 1,971.38
  4. Step 4: Simplify right side
    849.75x = 3,886,319.39
  5. Step 5: Solve for x
    x = 3,886,319.39/849.75
  6. Step 6: Final answer
    x = 4,573.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.