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Finding the Third Proportional to 10,769.63 and 23,662.55

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Solution

The third proportional to 10,769.63 and 23,662.55 is: 51,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.63 : 23,662.55 = 23,662.55 : x
  2. Step 2: Convert to fraction form
    10,769.63/23,662.55 = 23,662.55/x
  3. Step 3: Cross multiply
    10,769.63x = 23,662.55 × 23,662.55
  4. Step 4: Simplify right side
    10,769.63x = 559,916,124.61
  5. Step 5: Solve for x
    x = 559,916,124.61/10,769.63
  6. Step 6: Final answer
    x = 51,990.31

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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.