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Finding the Third Proportional to 35,652 and 76,230

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Solution

The third proportional to 35,652 and 76,230 is: 162,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652 : 76,230 = 76,230 : x
  2. Step 2: Convert to fraction form
    35,652/76,230 = 76,230/x
  3. Step 3: Cross multiply
    35,652x = 76,230 × 76,230
  4. Step 4: Simplify right side
    35,652x = 5,811,012,900
  5. Step 5: Solve for x
    x = 5,811,012,900/35,652
  6. Step 6: Final answer
    x = 162,992.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.