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Finding the Third Proportional to 17,727 and 24,057

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Solution

The third proportional to 17,727 and 24,057 is: 32,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727 : 24,057 = 24,057 : x
  2. Step 2: Convert to fraction form
    17,727/24,057 = 24,057/x
  3. Step 3: Cross multiply
    17,727x = 24,057 × 24,057
  4. Step 4: Simplify right side
    17,727x = 578,739,249
  5. Step 5: Solve for x
    x = 578,739,249/17,727
  6. Step 6: Final answer
    x = 32,647.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.