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Finding the Third Proportional to 11,997.50 and 19,167.50

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Solution

The third proportional to 11,997.50 and 19,167.50 is: 30,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.50 : 19,167.50 = 19,167.50 : x
  2. Step 2: Convert to fraction form
    11,997.50/19,167.50 = 19,167.50/x
  3. Step 3: Cross multiply
    11,997.50x = 19,167.50 × 19,167.50
  4. Step 4: Simplify right side
    11,997.50x = 367,393,056.25
  5. Step 5: Solve for x
    x = 367,393,056.25/11,997.50
  6. Step 6: Final answer
    x = 30,622.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.