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Finding the Third Proportional to 47,468 and 73,794

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Solution

The third proportional to 47,468 and 73,794 is: 114,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,468 : 73,794 = 73,794 : x
  2. Step 2: Convert to fraction form
    47,468/73,794 = 73,794/x
  3. Step 3: Cross multiply
    47,468x = 73,794 × 73,794
  4. Step 4: Simplify right side
    47,468x = 5,445,554,436
  5. Step 5: Solve for x
    x = 5,445,554,436/47,468
  6. Step 6: Final answer
    x = 114,720.54

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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.