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Finding the Third Proportional to 22,541 and 35,041

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Solution

The third proportional to 22,541 and 35,041 is: 54,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541 : 35,041 = 35,041 : x
  2. Step 2: Convert to fraction form
    22,541/35,041 = 35,041/x
  3. Step 3: Cross multiply
    22,541x = 35,041 × 35,041
  4. Step 4: Simplify right side
    22,541x = 1,227,871,681
  5. Step 5: Solve for x
    x = 1,227,871,681/22,541
  6. Step 6: Final answer
    x = 54,472.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.