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Finding the Third Proportional to 2,384.44 and 4,206.09

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Solution

The third proportional to 2,384.44 and 4,206.09 is: 7,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 4,206.09 = 4,206.09 : x
  2. Step 2: Convert to fraction form
    2,384.44/4,206.09 = 4,206.09/x
  3. Step 3: Cross multiply
    2,384.44x = 4,206.09 × 4,206.09
  4. Step 4: Simplify right side
    2,384.44x = 17,691,224.63
  5. Step 5: Solve for x
    x = 17,691,224.63/2,384.44
  6. Step 6: Final answer
    x = 7,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.