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Finding the Third Proportional to 16,059.75 and 17,492.25

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Solution

The third proportional to 16,059.75 and 17,492.25 is: 19,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.75 : 17,492.25 = 17,492.25 : x
  2. Step 2: Convert to fraction form
    16,059.75/17,492.25 = 17,492.25/x
  3. Step 3: Cross multiply
    16,059.75x = 17,492.25 × 17,492.25
  4. Step 4: Simplify right side
    16,059.75x = 305,978,810.06
  5. Step 5: Solve for x
    x = 305,978,810.06/16,059.75
  6. Step 6: Final answer
    x = 19,052.53

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.