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Finding the Third Proportional to 13,704 and 18,076

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Solution

The third proportional to 13,704 and 18,076 is: 23,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704 : 18,076 = 18,076 : x
  2. Step 2: Convert to fraction form
    13,704/18,076 = 18,076/x
  3. Step 3: Cross multiply
    13,704x = 18,076 × 18,076
  4. Step 4: Simplify right side
    13,704x = 326,741,776
  5. Step 5: Solve for x
    x = 326,741,776/13,704
  6. Step 6: Final answer
    x = 23,842.80

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.