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Finding the Third Proportional to 32,138 and 69,638

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Solution

The third proportional to 32,138 and 69,638 is: 150,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138 : 69,638 = 69,638 : x
  2. Step 2: Convert to fraction form
    32,138/69,638 = 69,638/x
  3. Step 3: Cross multiply
    32,138x = 69,638 × 69,638
  4. Step 4: Simplify right side
    32,138x = 4,849,451,044
  5. Step 5: Solve for x
    x = 4,849,451,044/32,138
  6. Step 6: Final answer
    x = 150,894.61

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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.