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Finding the Third Proportional to 7,253 and 10,852

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Solution

The third proportional to 7,253 and 10,852 is: 16,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253 : 10,852 = 10,852 : x
  2. Step 2: Convert to fraction form
    7,253/10,852 = 10,852/x
  3. Step 3: Cross multiply
    7,253x = 10,852 × 10,852
  4. Step 4: Simplify right side
    7,253x = 117,765,904
  5. Step 5: Solve for x
    x = 117,765,904/7,253
  6. Step 6: Final answer
    x = 16,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.