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Finding the Third Proportional to 9,175.15 and 19,580.48

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Solution

The third proportional to 9,175.15 and 19,580.48 is: 41,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.15 : 19,580.48 = 19,580.48 : x
  2. Step 2: Convert to fraction form
    9,175.15/19,580.48 = 19,580.48/x
  3. Step 3: Cross multiply
    9,175.15x = 19,580.48 × 19,580.48
  4. Step 4: Simplify right side
    9,175.15x = 383,395,368.36
  5. Step 5: Solve for x
    x = 383,395,368.36/9,175.15
  6. Step 6: Final answer
    x = 41,786.29

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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.