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Finding the Third Proportional to 7,516 and 17,422

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Solution

The third proportional to 7,516 and 17,422 is: 40,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516 : 17,422 = 17,422 : x
  2. Step 2: Convert to fraction form
    7,516/17,422 = 17,422/x
  3. Step 3: Cross multiply
    7,516x = 17,422 × 17,422
  4. Step 4: Simplify right side
    7,516x = 303,526,084
  5. Step 5: Solve for x
    x = 303,526,084/7,516
  6. Step 6: Final answer
    x = 40,383.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.