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Finding the Third Proportional to 13,999.50 and 21,852

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Solution

The third proportional to 13,999.50 and 21,852 is: 34,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.50 : 21,852 = 21,852 : x
  2. Step 2: Convert to fraction form
    13,999.50/21,852 = 21,852/x
  3. Step 3: Cross multiply
    13,999.50x = 21,852 × 21,852
  4. Step 4: Simplify right side
    13,999.50x = 477,509,904
  5. Step 5: Solve for x
    x = 477,509,904/13,999.50
  6. Step 6: Final answer
    x = 34,109.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.