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Finding the Third Proportional to 14,680 and 32,723

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Solution

The third proportional to 14,680 and 32,723 is: 72,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680 : 32,723 = 32,723 : x
  2. Step 2: Convert to fraction form
    14,680/32,723 = 32,723/x
  3. Step 3: Cross multiply
    14,680x = 32,723 × 32,723
  4. Step 4: Simplify right side
    14,680x = 1,070,794,729
  5. Step 5: Solve for x
    x = 1,070,794,729/14,680
  6. Step 6: Final answer
    x = 72,942.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.