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Finding the Third Proportional to 12,894.19 and 20,229.75

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Solution

The third proportional to 12,894.19 and 20,229.75 is: 31,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 20,229.75 = 20,229.75 : x
  2. Step 2: Convert to fraction form
    12,894.19/20,229.75 = 20,229.75/x
  3. Step 3: Cross multiply
    12,894.19x = 20,229.75 × 20,229.75
  4. Step 4: Simplify right side
    12,894.19x = 409,242,785.06
  5. Step 5: Solve for x
    x = 409,242,785.06/12,894.19
  6. Step 6: Final answer
    x = 31,738.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.