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Finding the Third Proportional to 9,674 and 21,172

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Solution

The third proportional to 9,674 and 21,172 is: 46,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 21,172 = 21,172 : x
  2. Step 2: Convert to fraction form
    9,674/21,172 = 21,172/x
  3. Step 3: Cross multiply
    9,674x = 21,172 × 21,172
  4. Step 4: Simplify right side
    9,674x = 448,253,584
  5. Step 5: Solve for x
    x = 448,253,584/9,674
  6. Step 6: Final answer
    x = 46,335.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.