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Finding the Third Proportional to 5,841 and 8,978

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Solution

The third proportional to 5,841 and 8,978 is: 13,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841 : 8,978 = 8,978 : x
  2. Step 2: Convert to fraction form
    5,841/8,978 = 8,978/x
  3. Step 3: Cross multiply
    5,841x = 8,978 × 8,978
  4. Step 4: Simplify right side
    5,841x = 80,604,484
  5. Step 5: Solve for x
    x = 80,604,484/5,841
  6. Step 6: Final answer
    x = 13,799.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.