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Finding the Third Proportional to 7,963 and 17,336

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Solution

The third proportional to 7,963 and 17,336 is: 37,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 17,336 = 17,336 : x
  2. Step 2: Convert to fraction form
    7,963/17,336 = 17,336/x
  3. Step 3: Cross multiply
    7,963x = 17,336 × 17,336
  4. Step 4: Simplify right side
    7,963x = 300,536,896
  5. Step 5: Solve for x
    x = 300,536,896/7,963
  6. Step 6: Final answer
    x = 37,741.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.