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Finding the Third Proportional to 1,448.63 and 3,207.75

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Solution

The third proportional to 1,448.63 and 3,207.75 is: 7,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.63 : 3,207.75 = 3,207.75 : x
  2. Step 2: Convert to fraction form
    1,448.63/3,207.75 = 3,207.75/x
  3. Step 3: Cross multiply
    1,448.63x = 3,207.75 × 3,207.75
  4. Step 4: Simplify right side
    1,448.63x = 10,289,660.06
  5. Step 5: Solve for x
    x = 10,289,660.06/1,448.63
  6. Step 6: Final answer
    x = 7,103.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.