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Finding the Third Proportional to 10,102 and 11,254

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Solution

The third proportional to 10,102 and 11,254 is: 12,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 11,254 = 11,254 : x
  2. Step 2: Convert to fraction form
    10,102/11,254 = 11,254/x
  3. Step 3: Cross multiply
    10,102x = 11,254 × 11,254
  4. Step 4: Simplify right side
    10,102x = 126,652,516
  5. Step 5: Solve for x
    x = 126,652,516/10,102
  6. Step 6: Final answer
    x = 12,537.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.