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Finding the Third Proportional to 25,596 and 36,011.25

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Solution

The third proportional to 25,596 and 36,011.25 is: 50,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 36,011.25 = 36,011.25 : x
  2. Step 2: Convert to fraction form
    25,596/36,011.25 = 36,011.25/x
  3. Step 3: Cross multiply
    25,596x = 36,011.25 × 36,011.25
  4. Step 4: Simplify right side
    25,596x = 1,296,810,126.56
  5. Step 5: Solve for x
    x = 1,296,810,126.56/25,596
  6. Step 6: Final answer
    x = 50,664.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.