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Finding the Third Proportional to 7,622 and 17,732

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Solution

The third proportional to 7,622 and 17,732 is: 41,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622 : 17,732 = 17,732 : x
  2. Step 2: Convert to fraction form
    7,622/17,732 = 17,732/x
  3. Step 3: Cross multiply
    7,622x = 17,732 × 17,732
  4. Step 4: Simplify right side
    7,622x = 314,423,824
  5. Step 5: Solve for x
    x = 314,423,824/7,622
  6. Step 6: Final answer
    x = 41,252.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.