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Finding the Third Proportional to 14,016 and 32,880

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Solution

The third proportional to 14,016 and 32,880 is: 77,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 32,880 = 32,880 : x
  2. Step 2: Convert to fraction form
    14,016/32,880 = 32,880/x
  3. Step 3: Cross multiply
    14,016x = 32,880 × 32,880
  4. Step 4: Simplify right side
    14,016x = 1,081,094,400
  5. Step 5: Solve for x
    x = 1,081,094,400/14,016
  6. Step 6: Final answer
    x = 77,132.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.