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Finding the Third Proportional to 49,455 and 73,095.75

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Solution

The third proportional to 49,455 and 73,095.75 is: 108,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,455 : 73,095.75 = 73,095.75 : x
  2. Step 2: Convert to fraction form
    49,455/73,095.75 = 73,095.75/x
  3. Step 3: Cross multiply
    49,455x = 73,095.75 × 73,095.75
  4. Step 4: Simplify right side
    49,455x = 5,342,988,668.06
  5. Step 5: Solve for x
    x = 5,342,988,668.06/49,455
  6. Step 6: Final answer
    x = 108,037.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.