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Finding the Third Proportional to 9,175.15 and 19,033.73

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Solution

The third proportional to 9,175.15 and 19,033.73 is: 39,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.15 : 19,033.73 = 19,033.73 : x
  2. Step 2: Convert to fraction form
    9,175.15/19,033.73 = 19,033.73/x
  3. Step 3: Cross multiply
    9,175.15x = 19,033.73 × 19,033.73
  4. Step 4: Simplify right side
    9,175.15x = 362,283,044.26
  5. Step 5: Solve for x
    x = 362,283,044.26/9,175.15
  6. Step 6: Final answer
    x = 39,485.25

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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.