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Finding the Third Proportional to 13,723 and 28,415

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Solution

The third proportional to 13,723 and 28,415 is: 58,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723 : 28,415 = 28,415 : x
  2. Step 2: Convert to fraction form
    13,723/28,415 = 28,415/x
  3. Step 3: Cross multiply
    13,723x = 28,415 × 28,415
  4. Step 4: Simplify right side
    13,723x = 807,412,225
  5. Step 5: Solve for x
    x = 807,412,225/13,723
  6. Step 6: Final answer
    x = 58,836.42

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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.