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Finding the Third Proportional to 1,837.69 and 2,028.48

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Solution

The third proportional to 1,837.69 and 2,028.48 is: 2,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.69 : 2,028.48 = 2,028.48 : x
  2. Step 2: Convert to fraction form
    1,837.69/2,028.48 = 2,028.48/x
  3. Step 3: Cross multiply
    1,837.69x = 2,028.48 × 2,028.48
  4. Step 4: Simplify right side
    1,837.69x = 4,114,733.01
  5. Step 5: Solve for x
    x = 4,114,733.01/1,837.69
  6. Step 6: Final answer
    x = 2,239.08

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.