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Finding the Third Proportional to 16,205.06 and 17,896.78

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Solution

The third proportional to 16,205.06 and 17,896.78 is: 19,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.06 : 17,896.78 = 17,896.78 : x
  2. Step 2: Convert to fraction form
    16,205.06/17,896.78 = 17,896.78/x
  3. Step 3: Cross multiply
    16,205.06x = 17,896.78 × 17,896.78
  4. Step 4: Simplify right side
    16,205.06x = 320,294,779.11
  5. Step 5: Solve for x
    x = 320,294,779.11/16,205.06
  6. Step 6: Final answer
    x = 19,765.11

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.