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Finding the Third Proportional to 10,083 and 11,235

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Solution

The third proportional to 10,083 and 11,235 is: 12,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083 : 11,235 = 11,235 : x
  2. Step 2: Convert to fraction form
    10,083/11,235 = 11,235/x
  3. Step 3: Cross multiply
    10,083x = 11,235 × 11,235
  4. Step 4: Simplify right side
    10,083x = 126,225,225
  5. Step 5: Solve for x
    x = 126,225,225/10,083
  6. Step 6: Final answer
    x = 12,518.62

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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.