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Finding the Third Proportional to 21,176 and 27,468

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Solution

The third proportional to 21,176 and 27,468 is: 35,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 27,468 = 27,468 : x
  2. Step 2: Convert to fraction form
    21,176/27,468 = 27,468/x
  3. Step 3: Cross multiply
    21,176x = 27,468 × 27,468
  4. Step 4: Simplify right side
    21,176x = 754,491,024
  5. Step 5: Solve for x
    x = 754,491,024/21,176
  6. Step 6: Final answer
    x = 35,629.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.