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Finding the Third Proportional to 1,425.09 and 1,999.69

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Solution

The third proportional to 1,425.09 and 1,999.69 is: 2,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.09 : 1,999.69 = 1,999.69 : x
  2. Step 2: Convert to fraction form
    1,425.09/1,999.69 = 1,999.69/x
  3. Step 3: Cross multiply
    1,425.09x = 1,999.69 × 1,999.69
  4. Step 4: Simplify right side
    1,425.09x = 3,998,750.10
  5. Step 5: Solve for x
    x = 3,998,750.10/1,425.09
  6. Step 6: Final answer
    x = 2,805.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.