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Finding the Third Proportional to 7,225 and 15,367

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Solution

The third proportional to 7,225 and 15,367 is: 32,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225 : 15,367 = 15,367 : x
  2. Step 2: Convert to fraction form
    7,225/15,367 = 15,367/x
  3. Step 3: Cross multiply
    7,225x = 15,367 × 15,367
  4. Step 4: Simplify right side
    7,225x = 236,144,689
  5. Step 5: Solve for x
    x = 236,144,689/7,225
  6. Step 6: Final answer
    x = 32,684.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.