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Finding the Third Proportional to 23,842.69 and 35,033.34

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Solution

The third proportional to 23,842.69 and 35,033.34 is: 51,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.69 : 35,033.34 = 35,033.34 : x
  2. Step 2: Convert to fraction form
    23,842.69/35,033.34 = 35,033.34/x
  3. Step 3: Cross multiply
    23,842.69x = 35,033.34 × 35,033.34
  4. Step 4: Simplify right side
    23,842.69x = 1,227,335,174.31
  5. Step 5: Solve for x
    x = 1,227,335,174.31/23,842.69
  6. Step 6: Final answer
    x = 51,476.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.