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Finding the Third Proportional to 46,848 and 73,344

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Solution

The third proportional to 46,848 and 73,344 is: 114,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,848 : 73,344 = 73,344 : x
  2. Step 2: Convert to fraction form
    46,848/73,344 = 73,344/x
  3. Step 3: Cross multiply
    46,848x = 73,344 × 73,344
  4. Step 4: Simplify right side
    46,848x = 5,379,342,336
  5. Step 5: Solve for x
    x = 5,379,342,336/46,848
  6. Step 6: Final answer
    x = 114,825.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.