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Finding the Third Proportional to 4,978 and 13,477

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Solution

The third proportional to 4,978 and 13,477 is: 36,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 13,477 = 13,477 : x
  2. Step 2: Convert to fraction form
    4,978/13,477 = 13,477/x
  3. Step 3: Cross multiply
    4,978x = 13,477 × 13,477
  4. Step 4: Simplify right side
    4,978x = 181,629,529
  5. Step 5: Solve for x
    x = 181,629,529/4,978
  6. Step 6: Final answer
    x = 36,486.45

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.