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Finding the Third Proportional to 10,558.69 and 23,213.25

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Solution

The third proportional to 10,558.69 and 23,213.25 is: 51,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.69 : 23,213.25 = 23,213.25 : x
  2. Step 2: Convert to fraction form
    10,558.69/23,213.25 = 23,213.25/x
  3. Step 3: Cross multiply
    10,558.69x = 23,213.25 × 23,213.25
  4. Step 4: Simplify right side
    10,558.69x = 538,854,975.56
  5. Step 5: Solve for x
    x = 538,854,975.56/10,558.69
  6. Step 6: Final answer
    x = 51,034.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.