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Finding the Third Proportional to 47,480 and 73,812

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Solution

The third proportional to 47,480 and 73,812 is: 114,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480 : 73,812 = 73,812 : x
  2. Step 2: Convert to fraction form
    47,480/73,812 = 73,812/x
  3. Step 3: Cross multiply
    47,480x = 73,812 × 73,812
  4. Step 4: Simplify right side
    47,480x = 5,448,211,344
  5. Step 5: Solve for x
    x = 5,448,211,344/47,480
  6. Step 6: Final answer
    x = 114,747.50

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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.