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Finding the Third Proportional to 14,311 and 30,256

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Solution

The third proportional to 14,311 and 30,256 is: 63,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311 : 30,256 = 30,256 : x
  2. Step 2: Convert to fraction form
    14,311/30,256 = 30,256/x
  3. Step 3: Cross multiply
    14,311x = 30,256 × 30,256
  4. Step 4: Simplify right side
    14,311x = 915,425,536
  5. Step 5: Solve for x
    x = 915,425,536/14,311
  6. Step 6: Final answer
    x = 63,966.57

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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.