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Finding the Third Proportional to 35,615 and 55,367

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Solution

The third proportional to 35,615 and 55,367 is: 86,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615 : 55,367 = 55,367 : x
  2. Step 2: Convert to fraction form
    35,615/55,367 = 55,367/x
  3. Step 3: Cross multiply
    35,615x = 55,367 × 55,367
  4. Step 4: Simplify right side
    35,615x = 3,065,504,689
  5. Step 5: Solve for x
    x = 3,065,504,689/35,615
  6. Step 6: Final answer
    x = 86,073.42

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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.