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Finding the Third Proportional to 32,006 and 69,685

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Solution

The third proportional to 32,006 and 69,685 is: 151,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006 : 69,685 = 69,685 : x
  2. Step 2: Convert to fraction form
    32,006/69,685 = 69,685/x
  3. Step 3: Cross multiply
    32,006x = 69,685 × 69,685
  4. Step 4: Simplify right side
    32,006x = 4,855,999,225
  5. Step 5: Solve for x
    x = 4,855,999,225/32,006
  6. Step 6: Final answer
    x = 151,721.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.