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Finding the Third Proportional to 31,378 and 43,980

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Solution

The third proportional to 31,378 and 43,980 is: 61,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378 : 43,980 = 43,980 : x
  2. Step 2: Convert to fraction form
    31,378/43,980 = 43,980/x
  3. Step 3: Cross multiply
    31,378x = 43,980 × 43,980
  4. Step 4: Simplify right side
    31,378x = 1,934,240,400
  5. Step 5: Solve for x
    x = 1,934,240,400/31,378
  6. Step 6: Final answer
    x = 61,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.