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Finding the Third Proportional to 14,188.50 and 19,887.75

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Solution

The third proportional to 14,188.50 and 19,887.75 is: 27,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.50 : 19,887.75 = 19,887.75 : x
  2. Step 2: Convert to fraction form
    14,188.50/19,887.75 = 19,887.75/x
  3. Step 3: Cross multiply
    14,188.50x = 19,887.75 × 19,887.75
  4. Step 4: Simplify right side
    14,188.50x = 395,522,600.06
  5. Step 5: Solve for x
    x = 395,522,600.06/14,188.50
  6. Step 6: Final answer
    x = 27,876.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.