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Finding the Third Proportional to 49,254.75 and 71,727.75

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Solution

The third proportional to 49,254.75 and 71,727.75 is: 104,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,254.75 : 71,727.75 = 71,727.75 : x
  2. Step 2: Convert to fraction form
    49,254.75/71,727.75 = 71,727.75/x
  3. Step 3: Cross multiply
    49,254.75x = 71,727.75 × 71,727.75
  4. Step 4: Simplify right side
    49,254.75x = 5,144,870,120.06
  5. Step 5: Solve for x
    x = 5,144,870,120.06/49,254.75
  6. Step 6: Final answer
    x = 104,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.