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Finding the Third Proportional to 23,654 and 36,401

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Solution

The third proportional to 23,654 and 36,401 is: 56,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654 : 36,401 = 36,401 : x
  2. Step 2: Convert to fraction form
    23,654/36,401 = 36,401/x
  3. Step 3: Cross multiply
    23,654x = 36,401 × 36,401
  4. Step 4: Simplify right side
    23,654x = 1,325,032,801
  5. Step 5: Solve for x
    x = 1,325,032,801/23,654
  6. Step 6: Final answer
    x = 56,017.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.