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Finding the Third Proportional to 5,710 and 7,994

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Solution

The third proportional to 5,710 and 7,994 is: 11,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710 : 7,994 = 7,994 : x
  2. Step 2: Convert to fraction form
    5,710/7,994 = 7,994/x
  3. Step 3: Cross multiply
    5,710x = 7,994 × 7,994
  4. Step 4: Simplify right side
    5,710x = 63,904,036
  5. Step 5: Solve for x
    x = 63,904,036/5,710
  6. Step 6: Final answer
    x = 11,191.60

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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.