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Finding the Third Proportional to 12,000 and 17,875

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Solution

The third proportional to 12,000 and 17,875 is: 26,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 17,875 = 17,875 : x
  2. Step 2: Convert to fraction form
    12,000/17,875 = 17,875/x
  3. Step 3: Cross multiply
    12,000x = 17,875 × 17,875
  4. Step 4: Simplify right side
    12,000x = 319,515,625
  5. Step 5: Solve for x
    x = 319,515,625/12,000
  6. Step 6: Final answer
    x = 26,626.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.