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Finding the Third Proportional to 10,728 and 25,842

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Solution

The third proportional to 10,728 and 25,842 is: 62,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 25,842 = 25,842 : x
  2. Step 2: Convert to fraction form
    10,728/25,842 = 25,842/x
  3. Step 3: Cross multiply
    10,728x = 25,842 × 25,842
  4. Step 4: Simplify right side
    10,728x = 667,808,964
  5. Step 5: Solve for x
    x = 667,808,964/10,728
  6. Step 6: Final answer
    x = 62,249.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.