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Finding the Third Proportional to 6,517 and 7,921

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Solution

The third proportional to 6,517 and 7,921 is: 9,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517 : 7,921 = 7,921 : x
  2. Step 2: Convert to fraction form
    6,517/7,921 = 7,921/x
  3. Step 3: Cross multiply
    6,517x = 7,921 × 7,921
  4. Step 4: Simplify right side
    6,517x = 62,742,241
  5. Step 5: Solve for x
    x = 62,742,241/6,517
  6. Step 6: Final answer
    x = 9,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.