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Finding the Third Proportional to 25,938 and 56,571

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Solution

The third proportional to 25,938 and 56,571 is: 123,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,938 : 56,571 = 56,571 : x
  2. Step 2: Convert to fraction form
    25,938/56,571 = 56,571/x
  3. Step 3: Cross multiply
    25,938x = 56,571 × 56,571
  4. Step 4: Simplify right side
    25,938x = 3,200,278,041
  5. Step 5: Solve for x
    x = 3,200,278,041/25,938
  6. Step 6: Final answer
    x = 123,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.