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Finding the Third Proportional to 32,678 and 69,964

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Solution

The third proportional to 32,678 and 69,964 is: 149,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678 : 69,964 = 69,964 : x
  2. Step 2: Convert to fraction form
    32,678/69,964 = 69,964/x
  3. Step 3: Cross multiply
    32,678x = 69,964 × 69,964
  4. Step 4: Simplify right side
    32,678x = 4,894,961,296
  5. Step 5: Solve for x
    x = 4,894,961,296/32,678
  6. Step 6: Final answer
    x = 149,793.78

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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.