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Finding the Third Proportional to 35,576 and 96,788

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Solution

The third proportional to 35,576 and 96,788 is: 263,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576 : 96,788 = 96,788 : x
  2. Step 2: Convert to fraction form
    35,576/96,788 = 96,788/x
  3. Step 3: Cross multiply
    35,576x = 96,788 × 96,788
  4. Step 4: Simplify right side
    35,576x = 9,367,916,944
  5. Step 5: Solve for x
    x = 9,367,916,944/35,576
  6. Step 6: Final answer
    x = 263,321.25

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.