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Finding the Third Proportional to 9,599.34 and 19,965.23

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Solution

The third proportional to 9,599.34 and 19,965.23 is: 41,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.34 : 19,965.23 = 19,965.23 : x
  2. Step 2: Convert to fraction form
    9,599.34/19,965.23 = 19,965.23/x
  3. Step 3: Cross multiply
    9,599.34x = 19,965.23 × 19,965.23
  4. Step 4: Simplify right side
    9,599.34x = 398,610,583.65
  5. Step 5: Solve for x
    x = 398,610,583.65/9,599.34
  6. Step 6: Final answer
    x = 41,524.77

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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.