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Finding the Third Proportional to 49,497.75 and 72,009

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Solution

The third proportional to 49,497.75 and 72,009 is: 104,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497.75 : 72,009 = 72,009 : x
  2. Step 2: Convert to fraction form
    49,497.75/72,009 = 72,009/x
  3. Step 3: Cross multiply
    49,497.75x = 72,009 × 72,009
  4. Step 4: Simplify right side
    49,497.75x = 5,185,296,081
  5. Step 5: Solve for x
    x = 5,185,296,081/49,497.75
  6. Step 6: Final answer
    x = 104,758.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.