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Finding the Third Proportional to 18,628 and 25,314

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Solution

The third proportional to 18,628 and 25,314 is: 34,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,628 : 25,314 = 25,314 : x
  2. Step 2: Convert to fraction form
    18,628/25,314 = 25,314/x
  3. Step 3: Cross multiply
    18,628x = 25,314 × 25,314
  4. Step 4: Simplify right side
    18,628x = 640,798,596
  5. Step 5: Solve for x
    x = 640,798,596/18,628
  6. Step 6: Final answer
    x = 34,399.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.