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Finding the Third Proportional to 11,563 and 27,287

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Solution

The third proportional to 11,563 and 27,287 is: 64,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 27,287 = 27,287 : x
  2. Step 2: Convert to fraction form
    11,563/27,287 = 27,287/x
  3. Step 3: Cross multiply
    11,563x = 27,287 × 27,287
  4. Step 4: Simplify right side
    11,563x = 744,580,369
  5. Step 5: Solve for x
    x = 744,580,369/11,563
  6. Step 6: Final answer
    x = 64,393.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.