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Finding the Third Proportional to 12,919.50 and 17,433

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Solution

The third proportional to 12,919.50 and 17,433 is: 23,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 17,433 = 17,433 : x
  2. Step 2: Convert to fraction form
    12,919.50/17,433 = 17,433/x
  3. Step 3: Cross multiply
    12,919.50x = 17,433 × 17,433
  4. Step 4: Simplify right side
    12,919.50x = 303,909,489
  5. Step 5: Solve for x
    x = 303,909,489/12,919.50
  6. Step 6: Final answer
    x = 23,523.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.