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Finding the Third Proportional to 28,978 and 61,071

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Solution

The third proportional to 28,978 and 61,071 is: 128,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,978 : 61,071 = 61,071 : x
  2. Step 2: Convert to fraction form
    28,978/61,071 = 61,071/x
  3. Step 3: Cross multiply
    28,978x = 61,071 × 61,071
  4. Step 4: Simplify right side
    28,978x = 3,729,667,041
  5. Step 5: Solve for x
    x = 3,729,667,041/28,978
  6. Step 6: Final answer
    x = 128,706.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.