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Finding the Third Proportional to 3,097 and 4,497

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Solution

The third proportional to 3,097 and 4,497 is: 6,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,497 = 4,497 : x
  2. Step 2: Convert to fraction form
    3,097/4,497 = 4,497/x
  3. Step 3: Cross multiply
    3,097x = 4,497 × 4,497
  4. Step 4: Simplify right side
    3,097x = 20,223,009
  5. Step 5: Solve for x
    x = 20,223,009/3,097
  6. Step 6: Final answer
    x = 6,529.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.