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Finding the Third Proportional to 11,828 and 13,052

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Solution

The third proportional to 11,828 and 13,052 is: 14,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828 : 13,052 = 13,052 : x
  2. Step 2: Convert to fraction form
    11,828/13,052 = 13,052/x
  3. Step 3: Cross multiply
    11,828x = 13,052 × 13,052
  4. Step 4: Simplify right side
    11,828x = 170,354,704
  5. Step 5: Solve for x
    x = 170,354,704/11,828
  6. Step 6: Final answer
    x = 14,402.66

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.