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Finding the Third Proportional to 17,640 and 23,517

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Solution

The third proportional to 17,640 and 23,517 is: 31,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640 : 23,517 = 23,517 : x
  2. Step 2: Convert to fraction form
    17,640/23,517 = 23,517/x
  3. Step 3: Cross multiply
    17,640x = 23,517 × 23,517
  4. Step 4: Simplify right side
    17,640x = 553,049,289
  5. Step 5: Solve for x
    x = 553,049,289/17,640
  6. Step 6: Final answer
    x = 31,352.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.