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Finding the Third Proportional to 32,676 and 69,960

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Solution

The third proportional to 32,676 and 69,960 is: 149,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676 : 69,960 = 69,960 : x
  2. Step 2: Convert to fraction form
    32,676/69,960 = 69,960/x
  3. Step 3: Cross multiply
    32,676x = 69,960 × 69,960
  4. Step 4: Simplify right side
    32,676x = 4,894,401,600
  5. Step 5: Solve for x
    x = 4,894,401,600/32,676
  6. Step 6: Final answer
    x = 149,785.82

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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.