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Finding the Third Proportional to 10,305 and 11,457

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Solution

The third proportional to 10,305 and 11,457 is: 12,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 11,457 = 11,457 : x
  2. Step 2: Convert to fraction form
    10,305/11,457 = 11,457/x
  3. Step 3: Cross multiply
    10,305x = 11,457 × 11,457
  4. Step 4: Simplify right side
    10,305x = 131,262,849
  5. Step 5: Solve for x
    x = 131,262,849/10,305
  6. Step 6: Final answer
    x = 12,737.78

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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.