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Finding the Third Proportional to 9,265.50 and 19,694.25

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Solution

The third proportional to 9,265.50 and 19,694.25 is: 41,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.50 : 19,694.25 = 19,694.25 : x
  2. Step 2: Convert to fraction form
    9,265.50/19,694.25 = 19,694.25/x
  3. Step 3: Cross multiply
    9,265.50x = 19,694.25 × 19,694.25
  4. Step 4: Simplify right side
    9,265.50x = 387,863,483.06
  5. Step 5: Solve for x
    x = 387,863,483.06/9,265.50
  6. Step 6: Final answer
    x = 41,861.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.