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Finding the Third Proportional to 11,242.69 and 24,748.31

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Solution

The third proportional to 11,242.69 and 24,748.31 is: 54,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.69 : 24,748.31 = 24,748.31 : x
  2. Step 2: Convert to fraction form
    11,242.69/24,748.31 = 24,748.31/x
  3. Step 3: Cross multiply
    11,242.69x = 24,748.31 × 24,748.31
  4. Step 4: Simplify right side
    11,242.69x = 612,478,971.60
  5. Step 5: Solve for x
    x = 612,478,971.60/11,242.69
  6. Step 6: Final answer
    x = 54,477.99

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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.