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Finding the Third Proportional to 1,842 and 3,932.25

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Solution

The third proportional to 1,842 and 3,932.25 is: 8,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842 : 3,932.25 = 3,932.25 : x
  2. Step 2: Convert to fraction form
    1,842/3,932.25 = 3,932.25/x
  3. Step 3: Cross multiply
    1,842x = 3,932.25 × 3,932.25
  4. Step 4: Simplify right side
    1,842x = 15,462,590.06
  5. Step 5: Solve for x
    x = 15,462,590.06/1,842
  6. Step 6: Final answer
    x = 8,394.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.