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Finding the Third Proportional to 8,021.53 and 17,441.58

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Solution

The third proportional to 8,021.53 and 17,441.58 is: 37,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.53 : 17,441.58 = 17,441.58 : x
  2. Step 2: Convert to fraction form
    8,021.53/17,441.58 = 17,441.58/x
  3. Step 3: Cross multiply
    8,021.53x = 17,441.58 × 17,441.58
  4. Step 4: Simplify right side
    8,021.53x = 304,208,647.49
  5. Step 5: Solve for x
    x = 304,208,647.49/8,021.53
  6. Step 6: Final answer
    x = 37,924.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.