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Finding the Third Proportional to 8,315 and 18,014

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Solution

The third proportional to 8,315 and 18,014 is: 39,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315 : 18,014 = 18,014 : x
  2. Step 2: Convert to fraction form
    8,315/18,014 = 18,014/x
  3. Step 3: Cross multiply
    8,315x = 18,014 × 18,014
  4. Step 4: Simplify right side
    8,315x = 324,504,196
  5. Step 5: Solve for x
    x = 324,504,196/8,315
  6. Step 6: Final answer
    x = 39,026.36

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1.5x scale

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.