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Finding the Third Proportional to 22,621 and 48,728

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Solution

The third proportional to 22,621 and 48,728 is: 104,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,621 : 48,728 = 48,728 : x
  2. Step 2: Convert to fraction form
    22,621/48,728 = 48,728/x
  3. Step 3: Cross multiply
    22,621x = 48,728 × 48,728
  4. Step 4: Simplify right side
    22,621x = 2,374,417,984
  5. Step 5: Solve for x
    x = 2,374,417,984/22,621
  6. Step 6: Final answer
    x = 104,965.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.