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Finding the Third Proportional to 13,415.50 and 21,274

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Solution

The third proportional to 13,415.50 and 21,274 is: 33,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.50 : 21,274 = 21,274 : x
  2. Step 2: Convert to fraction form
    13,415.50/21,274 = 21,274/x
  3. Step 3: Cross multiply
    13,415.50x = 21,274 × 21,274
  4. Step 4: Simplify right side
    13,415.50x = 452,583,076
  5. Step 5: Solve for x
    x = 452,583,076/13,415.50
  6. Step 6: Final answer
    x = 33,735.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.