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Finding the Third Proportional to 12,274.50 and 18,549.75

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Solution

The third proportional to 12,274.50 and 18,549.75 is: 28,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.50 : 18,549.75 = 18,549.75 : x
  2. Step 2: Convert to fraction form
    12,274.50/18,549.75 = 18,549.75/x
  3. Step 3: Cross multiply
    12,274.50x = 18,549.75 × 18,549.75
  4. Step 4: Simplify right side
    12,274.50x = 344,093,225.06
  5. Step 5: Solve for x
    x = 344,093,225.06/12,274.50
  6. Step 6: Final answer
    x = 28,033.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.