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Finding the Third Proportional to 23,986 and 35,982

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Solution

The third proportional to 23,986 and 35,982 is: 53,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986 : 35,982 = 35,982 : x
  2. Step 2: Convert to fraction form
    23,986/35,982 = 35,982/x
  3. Step 3: Cross multiply
    23,986x = 35,982 × 35,982
  4. Step 4: Simplify right side
    23,986x = 1,294,704,324
  5. Step 5: Solve for x
    x = 1,294,704,324/23,986
  6. Step 6: Final answer
    x = 53,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.