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Finding the Third Proportional to 11,566 and 19,086

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Solution

The third proportional to 11,566 and 19,086 is: 31,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 19,086 = 19,086 : x
  2. Step 2: Convert to fraction form
    11,566/19,086 = 19,086/x
  3. Step 3: Cross multiply
    11,566x = 19,086 × 19,086
  4. Step 4: Simplify right side
    11,566x = 364,275,396
  5. Step 5: Solve for x
    x = 364,275,396/11,566
  6. Step 6: Final answer
    x = 31,495.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.