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Finding the Third Proportional to 6,536 and 10,120

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Solution

The third proportional to 6,536 and 10,120 is: 15,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 10,120 = 10,120 : x
  2. Step 2: Convert to fraction form
    6,536/10,120 = 10,120/x
  3. Step 3: Cross multiply
    6,536x = 10,120 × 10,120
  4. Step 4: Simplify right side
    6,536x = 102,414,400
  5. Step 5: Solve for x
    x = 102,414,400/6,536
  6. Step 6: Final answer
    x = 15,669.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.