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Finding the Third Proportional to 8,170 and 17,724

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Solution

The third proportional to 8,170 and 17,724 is: 38,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 17,724 = 17,724 : x
  2. Step 2: Convert to fraction form
    8,170/17,724 = 17,724/x
  3. Step 3: Cross multiply
    8,170x = 17,724 × 17,724
  4. Step 4: Simplify right side
    8,170x = 314,140,176
  5. Step 5: Solve for x
    x = 314,140,176/8,170
  6. Step 6: Final answer
    x = 38,450.45

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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.