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Finding the Third Proportional to 10,735.03 and 23,383.69

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Solution

The third proportional to 10,735.03 and 23,383.69 is: 50,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.03 : 23,383.69 = 23,383.69 : x
  2. Step 2: Convert to fraction form
    10,735.03/23,383.69 = 23,383.69/x
  3. Step 3: Cross multiply
    10,735.03x = 23,383.69 × 23,383.69
  4. Step 4: Simplify right side
    10,735.03x = 546,796,841.10
  5. Step 5: Solve for x
    x = 546,796,841.10/10,735.03
  6. Step 6: Final answer
    x = 50,935.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.