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Finding the Third Proportional to 6,652 and 10,102

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Solution

The third proportional to 6,652 and 10,102 is: 15,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652 : 10,102 = 10,102 : x
  2. Step 2: Convert to fraction form
    6,652/10,102 = 10,102/x
  3. Step 3: Cross multiply
    6,652x = 10,102 × 10,102
  4. Step 4: Simplify right side
    6,652x = 102,050,404
  5. Step 5: Solve for x
    x = 102,050,404/6,652
  6. Step 6: Final answer
    x = 15,341.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.