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Finding the Third Proportional to 11,050.31 and 23,851.69

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Solution

The third proportional to 11,050.31 and 23,851.69 is: 51,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050.31 : 23,851.69 = 23,851.69 : x
  2. Step 2: Convert to fraction form
    11,050.31/23,851.69 = 23,851.69/x
  3. Step 3: Cross multiply
    11,050.31x = 23,851.69 × 23,851.69
  4. Step 4: Simplify right side
    11,050.31x = 568,902,996.60
  5. Step 5: Solve for x
    x = 568,902,996.60/11,050.31
  6. Step 6: Final answer
    x = 51,482.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.