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Finding the Third Proportional to 49,240 and 73,842.50

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Solution

The third proportional to 49,240 and 73,842.50 is: 110,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,240 : 73,842.50 = 73,842.50 : x
  2. Step 2: Convert to fraction form
    49,240/73,842.50 = 73,842.50/x
  3. Step 3: Cross multiply
    49,240x = 73,842.50 × 73,842.50
  4. Step 4: Simplify right side
    49,240x = 5,452,714,806.25
  5. Step 5: Solve for x
    x = 5,452,714,806.25/49,240
  6. Step 6: Final answer
    x = 110,737.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.