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Finding the Third Proportional to 1,900.13 and 3,504.09

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Solution

The third proportional to 1,900.13 and 3,504.09 is: 6,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.13 : 3,504.09 = 3,504.09 : x
  2. Step 2: Convert to fraction form
    1,900.13/3,504.09 = 3,504.09/x
  3. Step 3: Cross multiply
    1,900.13x = 3,504.09 × 3,504.09
  4. Step 4: Simplify right side
    1,900.13x = 12,278,673.01
  5. Step 5: Solve for x
    x = 12,278,673.01/1,900.13
  6. Step 6: Final answer
    x = 6,462.03

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.