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Finding the Third Proportional to 35,635 and 76,921

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Solution

The third proportional to 35,635 and 76,921 is: 166,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,635 : 76,921 = 76,921 : x
  2. Step 2: Convert to fraction form
    35,635/76,921 = 76,921/x
  3. Step 3: Cross multiply
    35,635x = 76,921 × 76,921
  4. Step 4: Simplify right side
    35,635x = 5,916,840,241
  5. Step 5: Solve for x
    x = 5,916,840,241/35,635
  6. Step 6: Final answer
    x = 166,040.14

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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.