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Finding the Third Proportional to 7,226 and 17,516

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Solution

The third proportional to 7,226 and 17,516 is: 42,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226 : 17,516 = 17,516 : x
  2. Step 2: Convert to fraction form
    7,226/17,516 = 17,516/x
  3. Step 3: Cross multiply
    7,226x = 17,516 × 17,516
  4. Step 4: Simplify right side
    7,226x = 306,810,256
  5. Step 5: Solve for x
    x = 306,810,256/7,226
  6. Step 6: Final answer
    x = 42,459.21

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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.