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Finding the Third Proportional to 32,100 and 69,621

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Solution

The third proportional to 32,100 and 69,621 is: 150,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100 : 69,621 = 69,621 : x
  2. Step 2: Convert to fraction form
    32,100/69,621 = 69,621/x
  3. Step 3: Cross multiply
    32,100x = 69,621 × 69,621
  4. Step 4: Simplify right side
    32,100x = 4,847,083,641
  5. Step 5: Solve for x
    x = 4,847,083,641/32,100
  6. Step 6: Final answer
    x = 150,999.49

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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.