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Finding the Third Proportional to 8,129 and 17,833

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Solution

The third proportional to 8,129 and 17,833 is: 39,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 17,833 = 17,833 : x
  2. Step 2: Convert to fraction form
    8,129/17,833 = 17,833/x
  3. Step 3: Cross multiply
    8,129x = 17,833 × 17,833
  4. Step 4: Simplify right side
    8,129x = 318,015,889
  5. Step 5: Solve for x
    x = 318,015,889/8,129
  6. Step 6: Final answer
    x = 39,121.16

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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.