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Finding the Third Proportional to 25,596 and 52,956

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Solution

The third proportional to 25,596 and 52,956 is: 109,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 52,956 = 52,956 : x
  2. Step 2: Convert to fraction form
    25,596/52,956 = 52,956/x
  3. Step 3: Cross multiply
    25,596x = 52,956 × 52,956
  4. Step 4: Simplify right side
    25,596x = 2,804,337,936
  5. Step 5: Solve for x
    x = 2,804,337,936/25,596
  6. Step 6: Final answer
    x = 109,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.