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Finding the Third Proportional to 30,918 and 67,848

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Solution

The third proportional to 30,918 and 67,848 is: 148,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918 : 67,848 = 67,848 : x
  2. Step 2: Convert to fraction form
    30,918/67,848 = 67,848/x
  3. Step 3: Cross multiply
    30,918x = 67,848 × 67,848
  4. Step 4: Simplify right side
    30,918x = 4,603,351,104
  5. Step 5: Solve for x
    x = 4,603,351,104/30,918
  6. Step 6: Final answer
    x = 148,889.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.