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Finding the Third Proportional to 24,826 and 34,728

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Solution

The third proportional to 24,826 and 34,728 is: 48,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826 : 34,728 = 34,728 : x
  2. Step 2: Convert to fraction form
    24,826/34,728 = 34,728/x
  3. Step 3: Cross multiply
    24,826x = 34,728 × 34,728
  4. Step 4: Simplify right side
    24,826x = 1,206,033,984
  5. Step 5: Solve for x
    x = 1,206,033,984/24,826
  6. Step 6: Final answer
    x = 48,579.47

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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.