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Finding the Third Proportional to 23,544 and 55,588

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Solution

The third proportional to 23,544 and 55,588 is: 131,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 55,588 = 55,588 : x
  2. Step 2: Convert to fraction form
    23,544/55,588 = 55,588/x
  3. Step 3: Cross multiply
    23,544x = 55,588 × 55,588
  4. Step 4: Simplify right side
    23,544x = 3,090,025,744
  5. Step 5: Solve for x
    x = 3,090,025,744/23,544
  6. Step 6: Final answer
    x = 131,244.72

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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.