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Finding the Third Proportional to 28,784 and 38,408

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Solution

The third proportional to 28,784 and 38,408 is: 51,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784 : 38,408 = 38,408 : x
  2. Step 2: Convert to fraction form
    28,784/38,408 = 38,408/x
  3. Step 3: Cross multiply
    28,784x = 38,408 × 38,408
  4. Step 4: Simplify right side
    28,784x = 1,475,174,464
  5. Step 5: Solve for x
    x = 1,475,174,464/28,784
  6. Step 6: Final answer
    x = 51,249.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.