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Finding the Third Proportional to 6,057 and 12,978

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Solution

The third proportional to 6,057 and 12,978 is: 27,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 12,978 = 12,978 : x
  2. Step 2: Convert to fraction form
    6,057/12,978 = 12,978/x
  3. Step 3: Cross multiply
    6,057x = 12,978 × 12,978
  4. Step 4: Simplify right side
    6,057x = 168,428,484
  5. Step 5: Solve for x
    x = 168,428,484/6,057
  6. Step 6: Final answer
    x = 27,807.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.