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Finding the Third Proportional to 7,732 and 17,800

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Solution

The third proportional to 7,732 and 17,800 is: 40,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 17,800 = 17,800 : x
  2. Step 2: Convert to fraction form
    7,732/17,800 = 17,800/x
  3. Step 3: Cross multiply
    7,732x = 17,800 × 17,800
  4. Step 4: Simplify right side
    7,732x = 316,840,000
  5. Step 5: Solve for x
    x = 316,840,000/7,732
  6. Step 6: Final answer
    x = 40,977.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.