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Finding the Third Proportional to 14,009 and 30,351

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Solution

The third proportional to 14,009 and 30,351 is: 65,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009 : 30,351 = 30,351 : x
  2. Step 2: Convert to fraction form
    14,009/30,351 = 30,351/x
  3. Step 3: Cross multiply
    14,009x = 30,351 × 30,351
  4. Step 4: Simplify right side
    14,009x = 921,183,201
  5. Step 5: Solve for x
    x = 921,183,201/14,009
  6. Step 6: Final answer
    x = 65,756.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.