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Finding the Third Proportional to 7,831 and 17,155

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Solution

The third proportional to 7,831 and 17,155 is: 37,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 17,155 = 17,155 : x
  2. Step 2: Convert to fraction form
    7,831/17,155 = 17,155/x
  3. Step 3: Cross multiply
    7,831x = 17,155 × 17,155
  4. Step 4: Simplify right side
    7,831x = 294,294,025
  5. Step 5: Solve for x
    x = 294,294,025/7,831
  6. Step 6: Final answer
    x = 37,580.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.