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Finding the Third Proportional to 12,703 and 26,274

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Solution

The third proportional to 12,703 and 26,274 is: 54,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703 : 26,274 = 26,274 : x
  2. Step 2: Convert to fraction form
    12,703/26,274 = 26,274/x
  3. Step 3: Cross multiply
    12,703x = 26,274 × 26,274
  4. Step 4: Simplify right side
    12,703x = 690,323,076
  5. Step 5: Solve for x
    x = 690,323,076/12,703
  6. Step 6: Final answer
    x = 54,343.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.