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Finding the Third Proportional to 39,184 and 50,880

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Solution

The third proportional to 39,184 and 50,880 is: 66,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184 : 50,880 = 50,880 : x
  2. Step 2: Convert to fraction form
    39,184/50,880 = 50,880/x
  3. Step 3: Cross multiply
    39,184x = 50,880 × 50,880
  4. Step 4: Simplify right side
    39,184x = 2,588,774,400
  5. Step 5: Solve for x
    x = 2,588,774,400/39,184
  6. Step 6: Final answer
    x = 66,067.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.