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Finding the Third Proportional to 30,523.50 and 67,270.50

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Solution

The third proportional to 30,523.50 and 67,270.50 is: 148,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.50 : 67,270.50 = 67,270.50 : x
  2. Step 2: Convert to fraction form
    30,523.50/67,270.50 = 67,270.50/x
  3. Step 3: Cross multiply
    30,523.50x = 67,270.50 × 67,270.50
  4. Step 4: Simplify right side
    30,523.50x = 4,525,320,170.25
  5. Step 5: Solve for x
    x = 4,525,320,170.25/30,523.50
  6. Step 6: Final answer
    x = 148,256.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.