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Finding the Third Proportional to 13,737 and 18,958.50

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Solution

The third proportional to 13,737 and 18,958.50 is: 26,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 18,958.50 = 18,958.50 : x
  2. Step 2: Convert to fraction form
    13,737/18,958.50 = 18,958.50/x
  3. Step 3: Cross multiply
    13,737x = 18,958.50 × 18,958.50
  4. Step 4: Simplify right side
    13,737x = 359,424,722.25
  5. Step 5: Solve for x
    x = 359,424,722.25/13,737
  6. Step 6: Final answer
    x = 26,164.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.