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Finding the Third Proportional to 29,680 and 64,512

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Solution

The third proportional to 29,680 and 64,512 is: 140,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680 : 64,512 = 64,512 : x
  2. Step 2: Convert to fraction form
    29,680/64,512 = 64,512/x
  3. Step 3: Cross multiply
    29,680x = 64,512 × 64,512
  4. Step 4: Simplify right side
    29,680x = 4,161,798,144
  5. Step 5: Solve for x
    x = 4,161,798,144/29,680
  6. Step 6: Final answer
    x = 140,222.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.