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Finding the Third Proportional to 35,971 and 54,458

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Solution

The third proportional to 35,971 and 54,458 is: 82,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971 : 54,458 = 54,458 : x
  2. Step 2: Convert to fraction form
    35,971/54,458 = 54,458/x
  3. Step 3: Cross multiply
    35,971x = 54,458 × 54,458
  4. Step 4: Simplify right side
    35,971x = 2,965,673,764
  5. Step 5: Solve for x
    x = 2,965,673,764/35,971
  6. Step 6: Final answer
    x = 82,446.24

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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.