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Finding the Third Proportional to 9,599.63 and 19,865.25

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Solution

The third proportional to 9,599.63 and 19,865.25 is: 41,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.63 : 19,865.25 = 19,865.25 : x
  2. Step 2: Convert to fraction form
    9,599.63/19,865.25 = 19,865.25/x
  3. Step 3: Cross multiply
    9,599.63x = 19,865.25 × 19,865.25
  4. Step 4: Simplify right side
    9,599.63x = 394,628,157.56
  5. Step 5: Solve for x
    x = 394,628,157.56/9,599.63
  6. Step 6: Final answer
    x = 41,108.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.