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Finding the Third Proportional to 49,448 and 76,683

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Solution

The third proportional to 49,448 and 76,683 is: 118,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448 : 76,683 = 76,683 : x
  2. Step 2: Convert to fraction form
    49,448/76,683 = 76,683/x
  3. Step 3: Cross multiply
    49,448x = 76,683 × 76,683
  4. Step 4: Simplify right side
    49,448x = 5,880,282,489
  5. Step 5: Solve for x
    x = 5,880,282,489/49,448
  6. Step 6: Final answer
    x = 118,918.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.