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Finding the Third Proportional to 35,995 and 54,317

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Solution

The third proportional to 35,995 and 54,317 is: 81,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,995 : 54,317 = 54,317 : x
  2. Step 2: Convert to fraction form
    35,995/54,317 = 54,317/x
  3. Step 3: Cross multiply
    35,995x = 54,317 × 54,317
  4. Step 4: Simplify right side
    35,995x = 2,950,336,489
  5. Step 5: Solve for x
    x = 2,950,336,489/35,995
  6. Step 6: Final answer
    x = 81,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.