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Finding the Third Proportional to 3,097 and 5,516

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Solution

The third proportional to 3,097 and 5,516 is: 9,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 5,516 = 5,516 : x
  2. Step 2: Convert to fraction form
    3,097/5,516 = 5,516/x
  3. Step 3: Cross multiply
    3,097x = 5,516 × 5,516
  4. Step 4: Simplify right side
    3,097x = 30,426,256
  5. Step 5: Solve for x
    x = 30,426,256/3,097
  6. Step 6: Final answer
    x = 9,824.43

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.