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Finding the Third Proportional to 21,135 and 28,469

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Solution

The third proportional to 21,135 and 28,469 is: 38,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135 : 28,469 = 28,469 : x
  2. Step 2: Convert to fraction form
    21,135/28,469 = 28,469/x
  3. Step 3: Cross multiply
    21,135x = 28,469 × 28,469
  4. Step 4: Simplify right side
    21,135x = 810,483,961
  5. Step 5: Solve for x
    x = 810,483,961/21,135
  6. Step 6: Final answer
    x = 38,347.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.