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Finding the Third Proportional to 31,968 and 46,296

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Solution

The third proportional to 31,968 and 46,296 is: 67,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 46,296 = 46,296 : x
  2. Step 2: Convert to fraction form
    31,968/46,296 = 46,296/x
  3. Step 3: Cross multiply
    31,968x = 46,296 × 46,296
  4. Step 4: Simplify right side
    31,968x = 2,143,319,616
  5. Step 5: Solve for x
    x = 2,143,319,616/31,968
  6. Step 6: Final answer
    x = 67,045.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.