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Finding the Third Proportional to 9,595.75 and 19,965.75

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Solution

The third proportional to 9,595.75 and 19,965.75 is: 41,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.75 : 19,965.75 = 19,965.75 : x
  2. Step 2: Convert to fraction form
    9,595.75/19,965.75 = 19,965.75/x
  3. Step 3: Cross multiply
    9,595.75x = 19,965.75 × 19,965.75
  4. Step 4: Simplify right side
    9,595.75x = 398,631,173.06
  5. Step 5: Solve for x
    x = 398,631,173.06/9,595.75
  6. Step 6: Final answer
    x = 41,542.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.