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Finding the Third Proportional to 7,732 and 18,680

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Solution

The third proportional to 7,732 and 18,680 is: 45,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 18,680 = 18,680 : x
  2. Step 2: Convert to fraction form
    7,732/18,680 = 18,680/x
  3. Step 3: Cross multiply
    7,732x = 18,680 × 18,680
  4. Step 4: Simplify right side
    7,732x = 348,942,400
  5. Step 5: Solve for x
    x = 348,942,400/7,732
  6. Step 6: Final answer
    x = 45,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.