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Finding the Third Proportional to 30,988 and 67,916

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Solution

The third proportional to 30,988 and 67,916 is: 148,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988 : 67,916 = 67,916 : x
  2. Step 2: Convert to fraction form
    30,988/67,916 = 67,916/x
  3. Step 3: Cross multiply
    30,988x = 67,916 × 67,916
  4. Step 4: Simplify right side
    30,988x = 4,612,583,056
  5. Step 5: Solve for x
    x = 4,612,583,056/30,988
  6. Step 6: Final answer
    x = 148,850.62

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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.