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Finding the Third Proportional to 35,630 and 76,910

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Solution

The third proportional to 35,630 and 76,910 is: 166,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630 : 76,910 = 76,910 : x
  2. Step 2: Convert to fraction form
    35,630/76,910 = 76,910/x
  3. Step 3: Cross multiply
    35,630x = 76,910 × 76,910
  4. Step 4: Simplify right side
    35,630x = 5,915,148,100
  5. Step 5: Solve for x
    x = 5,915,148,100/35,630
  6. Step 6: Final answer
    x = 166,015.94

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