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Finding the Third Proportional to 13,880 and 32,120

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Solution

The third proportional to 13,880 and 32,120 is: 74,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 32,120 = 32,120 : x
  2. Step 2: Convert to fraction form
    13,880/32,120 = 32,120/x
  3. Step 3: Cross multiply
    13,880x = 32,120 × 32,120
  4. Step 4: Simplify right side
    13,880x = 1,031,694,400
  5. Step 5: Solve for x
    x = 1,031,694,400/13,880
  6. Step 6: Final answer
    x = 74,329.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.