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Finding the Third Proportional to 10,672 and 14,277

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Solution

The third proportional to 10,672 and 14,277 is: 19,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672 : 14,277 = 14,277 : x
  2. Step 2: Convert to fraction form
    10,672/14,277 = 14,277/x
  3. Step 3: Cross multiply
    10,672x = 14,277 × 14,277
  4. Step 4: Simplify right side
    10,672x = 203,832,729
  5. Step 5: Solve for x
    x = 203,832,729/10,672
  6. Step 6: Final answer
    x = 19,099.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.