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Finding the Third Proportional to 49,440 and 62,640

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Solution

The third proportional to 49,440 and 62,640 is: 79,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,440 : 62,640 = 62,640 : x
  2. Step 2: Convert to fraction form
    49,440/62,640 = 62,640/x
  3. Step 3: Cross multiply
    49,440x = 62,640 × 62,640
  4. Step 4: Simplify right side
    49,440x = 3,923,769,600
  5. Step 5: Solve for x
    x = 3,923,769,600/49,440
  6. Step 6: Final answer
    x = 79,364.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.