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Finding the Third Proportional to 10,113 and 11,247

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Solution

The third proportional to 10,113 and 11,247 is: 12,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 11,247 = 11,247 : x
  2. Step 2: Convert to fraction form
    10,113/11,247 = 11,247/x
  3. Step 3: Cross multiply
    10,113x = 11,247 × 11,247
  4. Step 4: Simplify right side
    10,113x = 126,495,009
  5. Step 5: Solve for x
    x = 126,495,009/10,113
  6. Step 6: Final answer
    x = 12,508.16

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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.