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Finding the Third Proportional to 49,792 and 75,476

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Solution

The third proportional to 49,792 and 75,476 is: 114,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792 : 75,476 = 75,476 : x
  2. Step 2: Convert to fraction form
    49,792/75,476 = 75,476/x
  3. Step 3: Cross multiply
    49,792x = 75,476 × 75,476
  4. Step 4: Simplify right side
    49,792x = 5,696,626,576
  5. Step 5: Solve for x
    x = 5,696,626,576/49,792
  6. Step 6: Final answer
    x = 114,408.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.