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Finding the Third Proportional to 35,986 and 56,324

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Solution

The third proportional to 35,986 and 56,324 is: 88,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986 : 56,324 = 56,324 : x
  2. Step 2: Convert to fraction form
    35,986/56,324 = 56,324/x
  3. Step 3: Cross multiply
    35,986x = 56,324 × 56,324
  4. Step 4: Simplify right side
    35,986x = 3,172,392,976
  5. Step 5: Solve for x
    x = 3,172,392,976/35,986
  6. Step 6: Final answer
    x = 88,156.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.