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Finding the Third Proportional to 3,071.67 and 7,992.42

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Solution

The third proportional to 3,071.67 and 7,992.42 is: 20,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.67 : 7,992.42 = 7,992.42 : x
  2. Step 2: Convert to fraction form
    3,071.67/7,992.42 = 7,992.42/x
  3. Step 3: Cross multiply
    3,071.67x = 7,992.42 × 7,992.42
  4. Step 4: Simplify right side
    3,071.67x = 63,878,807.43
  5. Step 5: Solve for x
    x = 63,878,807.43/3,071.67
  6. Step 6: Final answer
    x = 20,796.10

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.