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Finding the Third Proportional to 4,085 and 6,097

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Solution

The third proportional to 4,085 and 6,097 is: 9,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085 : 6,097 = 6,097 : x
  2. Step 2: Convert to fraction form
    4,085/6,097 = 6,097/x
  3. Step 3: Cross multiply
    4,085x = 6,097 × 6,097
  4. Step 4: Simplify right side
    4,085x = 37,173,409
  5. Step 5: Solve for x
    x = 37,173,409/4,085
  6. Step 6: Final answer
    x = 9,099.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.