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Finding the Third Proportional to 20,914 and 32,641

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Solution

The third proportional to 20,914 and 32,641 is: 50,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914 : 32,641 = 32,641 : x
  2. Step 2: Convert to fraction form
    20,914/32,641 = 32,641/x
  3. Step 3: Cross multiply
    20,914x = 32,641 × 32,641
  4. Step 4: Simplify right side
    20,914x = 1,065,434,881
  5. Step 5: Solve for x
    x = 1,065,434,881/20,914
  6. Step 6: Final answer
    x = 50,943.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.