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Finding the Third Proportional to 48,628 and 73,446

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Solution

The third proportional to 48,628 and 73,446 is: 110,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,628 : 73,446 = 73,446 : x
  2. Step 2: Convert to fraction form
    48,628/73,446 = 73,446/x
  3. Step 3: Cross multiply
    48,628x = 73,446 × 73,446
  4. Step 4: Simplify right side
    48,628x = 5,394,314,916
  5. Step 5: Solve for x
    x = 5,394,314,916/48,628
  6. Step 6: Final answer
    x = 110,930.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.