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Finding the Third Proportional to 14,272 and 30,177

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Solution

The third proportional to 14,272 and 30,177 is: 63,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272 : 30,177 = 30,177 : x
  2. Step 2: Convert to fraction form
    14,272/30,177 = 30,177/x
  3. Step 3: Cross multiply
    14,272x = 30,177 × 30,177
  4. Step 4: Simplify right side
    14,272x = 910,651,329
  5. Step 5: Solve for x
    x = 910,651,329/14,272
  6. Step 6: Final answer
    x = 63,806.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.