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Finding the Third Proportional to 10,735.03 and 23,059.69

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Solution

The third proportional to 10,735.03 and 23,059.69 is: 49,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.03 : 23,059.69 = 23,059.69 : x
  2. Step 2: Convert to fraction form
    10,735.03/23,059.69 = 23,059.69/x
  3. Step 3: Cross multiply
    10,735.03x = 23,059.69 × 23,059.69
  4. Step 4: Simplify right side
    10,735.03x = 531,749,187.60
  5. Step 5: Solve for x
    x = 531,749,187.60/10,735.03
  6. Step 6: Final answer
    x = 49,534.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.