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Finding the Third Proportional to 1,090.41 and 2,384.44

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Solution

The third proportional to 1,090.41 and 2,384.44 is: 5,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.41 : 2,384.44 = 2,384.44 : x
  2. Step 2: Convert to fraction form
    1,090.41/2,384.44 = 2,384.44/x
  3. Step 3: Cross multiply
    1,090.41x = 2,384.44 × 2,384.44
  4. Step 4: Simplify right side
    1,090.41x = 5,685,542.19
  5. Step 5: Solve for x
    x = 5,685,542.19/1,090.41
  6. Step 6: Final answer
    x = 5,214.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.