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Finding the Third Proportional to 32,850 and 67,632

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Solution

The third proportional to 32,850 and 67,632 is: 139,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850 : 67,632 = 67,632 : x
  2. Step 2: Convert to fraction form
    32,850/67,632 = 67,632/x
  3. Step 3: Cross multiply
    32,850x = 67,632 × 67,632
  4. Step 4: Simplify right side
    32,850x = 4,574,087,424
  5. Step 5: Solve for x
    x = 4,574,087,424/32,850
  6. Step 6: Final answer
    x = 139,241.63

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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.