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Finding the Third Proportional to 12,078 and 14,751

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Solution

The third proportional to 12,078 and 14,751 is: 18,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 14,751 = 14,751 : x
  2. Step 2: Convert to fraction form
    12,078/14,751 = 14,751/x
  3. Step 3: Cross multiply
    12,078x = 14,751 × 14,751
  4. Step 4: Simplify right side
    12,078x = 217,592,001
  5. Step 5: Solve for x
    x = 217,592,001/12,078
  6. Step 6: Final answer
    x = 18,015.57

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.