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Finding the Third Proportional to 13,274 and 19,187.50

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Solution

The third proportional to 13,274 and 19,187.50 is: 27,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 19,187.50 = 19,187.50 : x
  2. Step 2: Convert to fraction form
    13,274/19,187.50 = 19,187.50/x
  3. Step 3: Cross multiply
    13,274x = 19,187.50 × 19,187.50
  4. Step 4: Simplify right side
    13,274x = 368,160,156.25
  5. Step 5: Solve for x
    x = 368,160,156.25/13,274
  6. Step 6: Final answer
    x = 27,735.43

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.