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Finding the Third Proportional to 11,556 and 15,814

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Solution

The third proportional to 11,556 and 15,814 is: 21,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,814 = 15,814 : x
  2. Step 2: Convert to fraction form
    11,556/15,814 = 15,814/x
  3. Step 3: Cross multiply
    11,556x = 15,814 × 15,814
  4. Step 4: Simplify right side
    11,556x = 250,082,596
  5. Step 5: Solve for x
    x = 250,082,596/11,556
  6. Step 6: Final answer
    x = 21,640.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.