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Finding the Third Proportional to 10,769.63 and 23,268.94

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Solution

The third proportional to 10,769.63 and 23,268.94 is: 50,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.63 : 23,268.94 = 23,268.94 : x
  2. Step 2: Convert to fraction form
    10,769.63/23,268.94 = 23,268.94/x
  3. Step 3: Cross multiply
    10,769.63x = 23,268.94 × 23,268.94
  4. Step 4: Simplify right side
    10,769.63x = 541,443,452.38
  5. Step 5: Solve for x
    x = 541,443,452.38/10,769.63
  6. Step 6: Final answer
    x = 50,275.05

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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.