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Finding the Third Proportional to 15,317 and 33,145

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Solution

The third proportional to 15,317 and 33,145 is: 71,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317 : 33,145 = 33,145 : x
  2. Step 2: Convert to fraction form
    15,317/33,145 = 33,145/x
  3. Step 3: Cross multiply
    15,317x = 33,145 × 33,145
  4. Step 4: Simplify right side
    15,317x = 1,098,591,025
  5. Step 5: Solve for x
    x = 1,098,591,025/15,317
  6. Step 6: Final answer
    x = 71,723.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.