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Finding the Third Proportional to 11,626 and 17,875

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Solution

The third proportional to 11,626 and 17,875 is: 27,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626 : 17,875 = 17,875 : x
  2. Step 2: Convert to fraction form
    11,626/17,875 = 17,875/x
  3. Step 3: Cross multiply
    11,626x = 17,875 × 17,875
  4. Step 4: Simplify right side
    11,626x = 319,515,625
  5. Step 5: Solve for x
    x = 319,515,625/11,626
  6. Step 6: Final answer
    x = 27,482.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.