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Finding the Third Proportional to 13,940 and 30,152

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Solution

The third proportional to 13,940 and 30,152 is: 65,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 30,152 = 30,152 : x
  2. Step 2: Convert to fraction form
    13,940/30,152 = 30,152/x
  3. Step 3: Cross multiply
    13,940x = 30,152 × 30,152
  4. Step 4: Simplify right side
    13,940x = 909,143,104
  5. Step 5: Solve for x
    x = 909,143,104/13,940
  6. Step 6: Final answer
    x = 65,218.30

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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.