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Finding the Third Proportional to 8,357 and 17,653

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Solution

The third proportional to 8,357 and 17,653 is: 37,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 17,653 = 17,653 : x
  2. Step 2: Convert to fraction form
    8,357/17,653 = 17,653/x
  3. Step 3: Cross multiply
    8,357x = 17,653 × 17,653
  4. Step 4: Simplify right side
    8,357x = 311,628,409
  5. Step 5: Solve for x
    x = 311,628,409/8,357
  6. Step 6: Final answer
    x = 37,289.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.