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Finding the Third Proportional to 953.49 and 1,968.21

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Solution

The third proportional to 953.49 and 1,968.21 is: 4,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.49 : 1,968.21 = 1,968.21 : x
  2. Step 2: Convert to fraction form
    953.49/1,968.21 = 1,968.21/x
  3. Step 3: Cross multiply
    953.49x = 1,968.21 × 1,968.21
  4. Step 4: Simplify right side
    953.49x = 3,873,831.23
  5. Step 5: Solve for x
    x = 3,873,831.23/953.49
  6. Step 6: Final answer
    x = 4,062.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.