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Finding the Third Proportional to 13,887 and 30,318

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Solution

The third proportional to 13,887 and 30,318 is: 66,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 30,318 = 30,318 : x
  2. Step 2: Convert to fraction form
    13,887/30,318 = 30,318/x
  3. Step 3: Cross multiply
    13,887x = 30,318 × 30,318
  4. Step 4: Simplify right side
    13,887x = 919,181,124
  5. Step 5: Solve for x
    x = 919,181,124/13,887
  6. Step 6: Final answer
    x = 66,190.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.