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Finding the Third Proportional to 12,084.75 and 19,887.75

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Solution

The third proportional to 12,084.75 and 19,887.75 is: 32,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.75 : 19,887.75 = 19,887.75 : x
  2. Step 2: Convert to fraction form
    12,084.75/19,887.75 = 19,887.75/x
  3. Step 3: Cross multiply
    12,084.75x = 19,887.75 × 19,887.75
  4. Step 4: Simplify right side
    12,084.75x = 395,522,600.06
  5. Step 5: Solve for x
    x = 395,522,600.06/12,084.75
  6. Step 6: Final answer
    x = 32,729.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.