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Finding the Third Proportional to 32,204 and 66,487

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Solution

The third proportional to 32,204 and 66,487 is: 137,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204 : 66,487 = 66,487 : x
  2. Step 2: Convert to fraction form
    32,204/66,487 = 66,487/x
  3. Step 3: Cross multiply
    32,204x = 66,487 × 66,487
  4. Step 4: Simplify right side
    32,204x = 4,420,521,169
  5. Step 5: Solve for x
    x = 4,420,521,169/32,204
  6. Step 6: Final answer
    x = 137,266.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.