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Finding the Third Proportional to 19,106.25 and 25,481.81

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Solution

The third proportional to 19,106.25 and 25,481.81 is: 33,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.25 : 25,481.81 = 25,481.81 : x
  2. Step 2: Convert to fraction form
    19,106.25/25,481.81 = 25,481.81/x
  3. Step 3: Cross multiply
    19,106.25x = 25,481.81 × 25,481.81
  4. Step 4: Simplify right side
    19,106.25x = 649,322,768.29
  5. Step 5: Solve for x
    x = 649,322,768.29/19,106.25
  6. Step 6: Final answer
    x = 33,984.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.