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Finding the Third Proportional to 8,717 and 18,557

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Solution

The third proportional to 8,717 and 18,557 is: 39,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717 : 18,557 = 18,557 : x
  2. Step 2: Convert to fraction form
    8,717/18,557 = 18,557/x
  3. Step 3: Cross multiply
    8,717x = 18,557 × 18,557
  4. Step 4: Simplify right side
    8,717x = 344,362,249
  5. Step 5: Solve for x
    x = 344,362,249/8,717
  6. Step 6: Final answer
    x = 39,504.67

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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.