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Finding the Third Proportional to 14,589 and 21,878

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Solution

The third proportional to 14,589 and 21,878 is: 32,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 21,878 = 21,878 : x
  2. Step 2: Convert to fraction form
    14,589/21,878 = 21,878/x
  3. Step 3: Cross multiply
    14,589x = 21,878 × 21,878
  4. Step 4: Simplify right side
    14,589x = 478,646,884
  5. Step 5: Solve for x
    x = 478,646,884/14,589
  6. Step 6: Final answer
    x = 32,808.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.