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Finding the Third Proportional to 48,704 and 73,582

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Solution

The third proportional to 48,704 and 73,582 is: 111,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,704 : 73,582 = 73,582 : x
  2. Step 2: Convert to fraction form
    48,704/73,582 = 73,582/x
  3. Step 3: Cross multiply
    48,704x = 73,582 × 73,582
  4. Step 4: Simplify right side
    48,704x = 5,414,310,724
  5. Step 5: Solve for x
    x = 5,414,310,724/48,704
  6. Step 6: Final answer
    x = 111,167.68

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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.