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Finding the Third Proportional to 17,820 and 24,912

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Solution

The third proportional to 17,820 and 24,912 is: 34,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820 : 24,912 = 24,912 : x
  2. Step 2: Convert to fraction form
    17,820/24,912 = 24,912/x
  3. Step 3: Cross multiply
    17,820x = 24,912 × 24,912
  4. Step 4: Simplify right side
    17,820x = 620,607,744
  5. Step 5: Solve for x
    x = 620,607,744/17,820
  6. Step 6: Final answer
    x = 34,826.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.