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Finding the Third Proportional to 10,674 and 14,283

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Solution

The third proportional to 10,674 and 14,283 is: 19,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 14,283 = 14,283 : x
  2. Step 2: Convert to fraction form
    10,674/14,283 = 14,283/x
  3. Step 3: Cross multiply
    10,674x = 14,283 × 14,283
  4. Step 4: Simplify right side
    10,674x = 204,004,089
  5. Step 5: Solve for x
    x = 204,004,089/10,674
  6. Step 6: Final answer
    x = 19,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.