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Finding the Third Proportional to 12,093.75 and 18,686.25

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Solution

The third proportional to 12,093.75 and 18,686.25 is: 28,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.75 : 18,686.25 = 18,686.25 : x
  2. Step 2: Convert to fraction form
    12,093.75/18,686.25 = 18,686.25/x
  3. Step 3: Cross multiply
    12,093.75x = 18,686.25 × 18,686.25
  4. Step 4: Simplify right side
    12,093.75x = 349,175,939.06
  5. Step 5: Solve for x
    x = 349,175,939.06/12,093.75
  6. Step 6: Final answer
    x = 28,872.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.