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Finding the Third Proportional to 11,588 and 16,761

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Solution

The third proportional to 11,588 and 16,761 is: 24,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 16,761 = 16,761 : x
  2. Step 2: Convert to fraction form
    11,588/16,761 = 16,761/x
  3. Step 3: Cross multiply
    11,588x = 16,761 × 16,761
  4. Step 4: Simplify right side
    11,588x = 280,931,121
  5. Step 5: Solve for x
    x = 280,931,121/11,588
  6. Step 6: Final answer
    x = 24,243.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.