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Finding the Third Proportional to 12,401 and 26,654

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Solution

The third proportional to 12,401 and 26,654 is: 57,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401 : 26,654 = 26,654 : x
  2. Step 2: Convert to fraction form
    12,401/26,654 = 26,654/x
  3. Step 3: Cross multiply
    12,401x = 26,654 × 26,654
  4. Step 4: Simplify right side
    12,401x = 710,435,716
  5. Step 5: Solve for x
    x = 710,435,716/12,401
  6. Step 6: Final answer
    x = 57,288.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.