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Finding the Third Proportional to 10,672 and 13,904

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Solution

The third proportional to 10,672 and 13,904 is: 18,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672 : 13,904 = 13,904 : x
  2. Step 2: Convert to fraction form
    10,672/13,904 = 13,904/x
  3. Step 3: Cross multiply
    10,672x = 13,904 × 13,904
  4. Step 4: Simplify right side
    10,672x = 193,321,216
  5. Step 5: Solve for x
    x = 193,321,216/10,672
  6. Step 6: Final answer
    x = 18,114.81

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.