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Finding the Third Proportional to 35,446 and 54,844

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Solution

The third proportional to 35,446 and 54,844 is: 84,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446 : 54,844 = 54,844 : x
  2. Step 2: Convert to fraction form
    35,446/54,844 = 54,844/x
  3. Step 3: Cross multiply
    35,446x = 54,844 × 54,844
  4. Step 4: Simplify right side
    35,446x = 3,007,864,336
  5. Step 5: Solve for x
    x = 3,007,864,336/35,446
  6. Step 6: Final answer
    x = 84,857.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.