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Finding the Third Proportional to 35,383 and 56,816

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Solution

The third proportional to 35,383 and 56,816 is: 91,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,383 : 56,816 = 56,816 : x
  2. Step 2: Convert to fraction form
    35,383/56,816 = 56,816/x
  3. Step 3: Cross multiply
    35,383x = 56,816 × 56,816
  4. Step 4: Simplify right side
    35,383x = 3,228,057,856
  5. Step 5: Solve for x
    x = 3,228,057,856/35,383
  6. Step 6: Final answer
    x = 91,231.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.