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Finding the Third Proportional to 13,723 and 29,395

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Solution

The third proportional to 13,723 and 29,395 is: 62,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723 : 29,395 = 29,395 : x
  2. Step 2: Convert to fraction form
    13,723/29,395 = 29,395/x
  3. Step 3: Cross multiply
    13,723x = 29,395 × 29,395
  4. Step 4: Simplify right side
    13,723x = 864,066,025
  5. Step 5: Solve for x
    x = 864,066,025/13,723
  6. Step 6: Final answer
    x = 62,964.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.