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Finding the Third Proportional to 17,827 and 39,057

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Solution

The third proportional to 17,827 and 39,057 is: 85,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827 : 39,057 = 39,057 : x
  2. Step 2: Convert to fraction form
    17,827/39,057 = 39,057/x
  3. Step 3: Cross multiply
    17,827x = 39,057 × 39,057
  4. Step 4: Simplify right side
    17,827x = 1,525,449,249
  5. Step 5: Solve for x
    x = 1,525,449,249/17,827
  6. Step 6: Final answer
    x = 85,569.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.