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Finding the Third Proportional to 48,734.50 and 73,462

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Solution

The third proportional to 48,734.50 and 73,462 is: 110,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,734.50 : 73,462 = 73,462 : x
  2. Step 2: Convert to fraction form
    48,734.50/73,462 = 73,462/x
  3. Step 3: Cross multiply
    48,734.50x = 73,462 × 73,462
  4. Step 4: Simplify right side
    48,734.50x = 5,396,665,444
  5. Step 5: Solve for x
    x = 5,396,665,444/48,734.50
  6. Step 6: Final answer
    x = 110,736.04

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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.