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Finding the Third Proportional to 29,646 and 63,676

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Solution

The third proportional to 29,646 and 63,676 is: 136,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 63,676 = 63,676 : x
  2. Step 2: Convert to fraction form
    29,646/63,676 = 63,676/x
  3. Step 3: Cross multiply
    29,646x = 63,676 × 63,676
  4. Step 4: Simplify right side
    29,646x = 4,054,632,976
  5. Step 5: Solve for x
    x = 4,054,632,976/29,646
  6. Step 6: Final answer
    x = 136,768.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.