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Finding the Third Proportional to 9,596.25 and 20,242.13

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Solution

The third proportional to 9,596.25 and 20,242.13 is: 42,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.25 : 20,242.13 = 20,242.13 : x
  2. Step 2: Convert to fraction form
    9,596.25/20,242.13 = 20,242.13/x
  3. Step 3: Cross multiply
    9,596.25x = 20,242.13 × 20,242.13
  4. Step 4: Simplify right side
    9,596.25x = 409,743,624.52
  5. Step 5: Solve for x
    x = 409,743,624.52/9,596.25
  6. Step 6: Final answer
    x = 42,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.