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Finding the Third Proportional to 11,572 and 12,868

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Solution

The third proportional to 11,572 and 12,868 is: 14,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 12,868 = 12,868 : x
  2. Step 2: Convert to fraction form
    11,572/12,868 = 12,868/x
  3. Step 3: Cross multiply
    11,572x = 12,868 × 12,868
  4. Step 4: Simplify right side
    11,572x = 165,585,424
  5. Step 5: Solve for x
    x = 165,585,424/11,572
  6. Step 6: Final answer
    x = 14,309.14

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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.