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Finding the Third Proportional to 16,484.50 and 18,914.50

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Solution

The third proportional to 16,484.50 and 18,914.50 is: 21,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.50 : 18,914.50 = 18,914.50 : x
  2. Step 2: Convert to fraction form
    16,484.50/18,914.50 = 18,914.50/x
  3. Step 3: Cross multiply
    16,484.50x = 18,914.50 × 18,914.50
  4. Step 4: Simplify right side
    16,484.50x = 357,758,310.25
  5. Step 5: Solve for x
    x = 357,758,310.25/16,484.50
  6. Step 6: Final answer
    x = 21,702.71

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.