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Finding the Third Proportional to 13,542 and 14,838

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Solution

The third proportional to 13,542 and 14,838 is: 16,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542 : 14,838 = 14,838 : x
  2. Step 2: Convert to fraction form
    13,542/14,838 = 14,838/x
  3. Step 3: Cross multiply
    13,542x = 14,838 × 14,838
  4. Step 4: Simplify right side
    13,542x = 220,166,244
  5. Step 5: Solve for x
    x = 220,166,244/13,542
  6. Step 6: Final answer
    x = 16,258.03

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.