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Finding the Third Proportional to 7,634 and 18,014

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Solution

The third proportional to 7,634 and 18,014 is: 42,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634 : 18,014 = 18,014 : x
  2. Step 2: Convert to fraction form
    7,634/18,014 = 18,014/x
  3. Step 3: Cross multiply
    7,634x = 18,014 × 18,014
  4. Step 4: Simplify right side
    7,634x = 324,504,196
  5. Step 5: Solve for x
    x = 324,504,196/7,634
  6. Step 6: Final answer
    x = 42,507.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.