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Finding the Third Proportional to 33,390 and 52,000.50

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Solution

The third proportional to 33,390 and 52,000.50 is: 80,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390 : 52,000.50 = 52,000.50 : x
  2. Step 2: Convert to fraction form
    33,390/52,000.50 = 52,000.50/x
  3. Step 3: Cross multiply
    33,390x = 52,000.50 × 52,000.50
  4. Step 4: Simplify right side
    33,390x = 2,704,052,000.25
  5. Step 5: Solve for x
    x = 2,704,052,000.25/33,390
  6. Step 6: Final answer
    x = 80,983.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.