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Finding the Third Proportional to 10,728 and 24,795

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Solution

The third proportional to 10,728 and 24,795 is: 57,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 24,795 = 24,795 : x
  2. Step 2: Convert to fraction form
    10,728/24,795 = 24,795/x
  3. Step 3: Cross multiply
    10,728x = 24,795 × 24,795
  4. Step 4: Simplify right side
    10,728x = 614,792,025
  5. Step 5: Solve for x
    x = 614,792,025/10,728
  6. Step 6: Final answer
    x = 57,307.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.