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Finding the Third Proportional to 30,996 and 67,520.25

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Solution

The third proportional to 30,996 and 67,520.25 is: 147,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 67,520.25 = 67,520.25 : x
  2. Step 2: Convert to fraction form
    30,996/67,520.25 = 67,520.25/x
  3. Step 3: Cross multiply
    30,996x = 67,520.25 × 67,520.25
  4. Step 4: Simplify right side
    30,996x = 4,558,984,160.06
  5. Step 5: Solve for x
    x = 4,558,984,160.06/30,996
  6. Step 6: Final answer
    x = 147,082.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.