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Finding the Third Proportional to 14,134 and 30,596

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Solution

The third proportional to 14,134 and 30,596 is: 66,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 30,596 = 30,596 : x
  2. Step 2: Convert to fraction form
    14,134/30,596 = 30,596/x
  3. Step 3: Cross multiply
    14,134x = 30,596 × 30,596
  4. Step 4: Simplify right side
    14,134x = 936,115,216
  5. Step 5: Solve for x
    x = 936,115,216/14,134
  6. Step 6: Final answer
    x = 66,231.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.