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Finding the Third Proportional to 11,563 and 27,023

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Solution

The third proportional to 11,563 and 27,023 is: 63,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 27,023 = 27,023 : x
  2. Step 2: Convert to fraction form
    11,563/27,023 = 27,023/x
  3. Step 3: Cross multiply
    11,563x = 27,023 × 27,023
  4. Step 4: Simplify right side
    11,563x = 730,242,529
  5. Step 5: Solve for x
    x = 730,242,529/11,563
  6. Step 6: Final answer
    x = 63,153.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.