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Finding the Third Proportional to 8,534 and 17,872

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Solution

The third proportional to 8,534 and 17,872 is: 37,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 17,872 = 17,872 : x
  2. Step 2: Convert to fraction form
    8,534/17,872 = 17,872/x
  3. Step 3: Cross multiply
    8,534x = 17,872 × 17,872
  4. Step 4: Simplify right side
    8,534x = 319,408,384
  5. Step 5: Solve for x
    x = 319,408,384/8,534
  6. Step 6: Final answer
    x = 37,427.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.