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Finding the Third Proportional to 12,850.50 and 18,728.25

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Solution

The third proportional to 12,850.50 and 18,728.25 is: 27,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.50 : 18,728.25 = 18,728.25 : x
  2. Step 2: Convert to fraction form
    12,850.50/18,728.25 = 18,728.25/x
  3. Step 3: Cross multiply
    12,850.50x = 18,728.25 × 18,728.25
  4. Step 4: Simplify right side
    12,850.50x = 350,747,348.06
  5. Step 5: Solve for x
    x = 350,747,348.06/12,850.50
  6. Step 6: Final answer
    x = 27,294.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.