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Finding the Third Proportional to 943.22 and 2,048.49

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Solution

The third proportional to 943.22 and 2,048.49 is: 4,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.22 : 2,048.49 = 2,048.49 : x
  2. Step 2: Convert to fraction form
    943.22/2,048.49 = 2,048.49/x
  3. Step 3: Cross multiply
    943.22x = 2,048.49 × 2,048.49
  4. Step 4: Simplify right side
    943.22x = 4,196,303.99
  5. Step 5: Solve for x
    x = 4,196,303.99/943.22
  6. Step 6: Final answer
    x = 4,448.92

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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.