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Finding the Third Proportional to 40,880 and 54,937

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Solution

The third proportional to 40,880 and 54,937 is: 73,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,880 : 54,937 = 54,937 : x
  2. Step 2: Convert to fraction form
    40,880/54,937 = 54,937/x
  3. Step 3: Cross multiply
    40,880x = 54,937 × 54,937
  4. Step 4: Simplify right side
    40,880x = 3,018,073,969
  5. Step 5: Solve for x
    x = 3,018,073,969/40,880
  6. Step 6: Final answer
    x = 73,827.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.