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Finding the Third Proportional to 13,201.50 and 14,983.50

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Solution

The third proportional to 13,201.50 and 14,983.50 is: 17,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.50 : 14,983.50 = 14,983.50 : x
  2. Step 2: Convert to fraction form
    13,201.50/14,983.50 = 14,983.50/x
  3. Step 3: Cross multiply
    13,201.50x = 14,983.50 × 14,983.50
  4. Step 4: Simplify right side
    13,201.50x = 224,505,272.25
  5. Step 5: Solve for x
    x = 224,505,272.25/13,201.50
  6. Step 6: Final answer
    x = 17,006.04

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.