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Finding the Third Proportional to 12,814 and 27,148

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Solution

The third proportional to 12,814 and 27,148 is: 57,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 27,148 = 27,148 : x
  2. Step 2: Convert to fraction form
    12,814/27,148 = 27,148/x
  3. Step 3: Cross multiply
    12,814x = 27,148 × 27,148
  4. Step 4: Simplify right side
    12,814x = 737,013,904
  5. Step 5: Solve for x
    x = 737,013,904/12,814
  6. Step 6: Final answer
    x = 57,516.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.