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Finding the Third Proportional to 16,093 and 25,596

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Solution

The third proportional to 16,093 and 25,596 is: 40,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093 : 25,596 = 25,596 : x
  2. Step 2: Convert to fraction form
    16,093/25,596 = 25,596/x
  3. Step 3: Cross multiply
    16,093x = 25,596 × 25,596
  4. Step 4: Simplify right side
    16,093x = 655,155,216
  5. Step 5: Solve for x
    x = 655,155,216/16,093
  6. Step 6: Final answer
    x = 40,710.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.