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Finding the Third Proportional to 10,872 and 16,301

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Solution

The third proportional to 10,872 and 16,301 is: 24,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 16,301 = 16,301 : x
  2. Step 2: Convert to fraction form
    10,872/16,301 = 16,301/x
  3. Step 3: Cross multiply
    10,872x = 16,301 × 16,301
  4. Step 4: Simplify right side
    10,872x = 265,722,601
  5. Step 5: Solve for x
    x = 265,722,601/10,872
  6. Step 6: Final answer
    x = 24,441.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.