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Finding the Third Proportional to 12,855 and 14,199

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Solution

The third proportional to 12,855 and 14,199 is: 15,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855 : 14,199 = 14,199 : x
  2. Step 2: Convert to fraction form
    12,855/14,199 = 14,199/x
  3. Step 3: Cross multiply
    12,855x = 14,199 × 14,199
  4. Step 4: Simplify right side
    12,855x = 201,611,601
  5. Step 5: Solve for x
    x = 201,611,601/12,855
  6. Step 6: Final answer
    x = 15,683.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.