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Finding the Third Proportional to 35,231.63 and 76,005

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Solution

The third proportional to 35,231.63 and 76,005 is: 163,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.63 : 76,005 = 76,005 : x
  2. Step 2: Convert to fraction form
    35,231.63/76,005 = 76,005/x
  3. Step 3: Cross multiply
    35,231.63x = 76,005 × 76,005
  4. Step 4: Simplify right side
    35,231.63x = 5,776,760,025
  5. Step 5: Solve for x
    x = 5,776,760,025/35,231.63
  6. Step 6: Final answer
    x = 163,965.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.