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Finding the Third Proportional to 11,610 and 17,371

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Solution

The third proportional to 11,610 and 17,371 is: 25,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610 : 17,371 = 17,371 : x
  2. Step 2: Convert to fraction form
    11,610/17,371 = 17,371/x
  3. Step 3: Cross multiply
    11,610x = 17,371 × 17,371
  4. Step 4: Simplify right side
    11,610x = 301,751,641
  5. Step 5: Solve for x
    x = 301,751,641/11,610
  6. Step 6: Final answer
    x = 25,990.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.