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Finding the Third Proportional to 10,757.81 and 23,302.27

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Solution

The third proportional to 10,757.81 and 23,302.27 is: 50,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.81 : 23,302.27 = 23,302.27 : x
  2. Step 2: Convert to fraction form
    10,757.81/23,302.27 = 23,302.27/x
  3. Step 3: Cross multiply
    10,757.81x = 23,302.27 × 23,302.27
  4. Step 4: Simplify right side
    10,757.81x = 542,995,583.26
  5. Step 5: Solve for x
    x = 542,995,583.26/10,757.81
  6. Step 6: Final answer
    x = 50,474.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.