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Finding the Third Proportional to 16,186.50 and 21,868.31

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Solution

The third proportional to 16,186.50 and 21,868.31 is: 29,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.50 : 21,868.31 = 21,868.31 : x
  2. Step 2: Convert to fraction form
    16,186.50/21,868.31 = 21,868.31/x
  3. Step 3: Cross multiply
    16,186.50x = 21,868.31 × 21,868.31
  4. Step 4: Simplify right side
    16,186.50x = 478,223,091.60
  5. Step 5: Solve for x
    x = 478,223,091.60/16,186.50
  6. Step 6: Final answer
    x = 29,544.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.